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Finding the Fourth Proportional to 170,284.47, 234,964.44 and 103,216.47

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Solution

The fourth proportional to 170,284.47, 234,964.44 and 103,216.47 is: 142,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,284.47 : 234,964.44 = 103,216.47 : x
  2. Step 2: Convert to fraction form
    170,284.47/234,964.44 = 103,216.47/x
  3. Step 3: Cross multiply
    170,284.47x = 234,964.44 × 103,216.47
  4. Step 4: Simplify right side
    170,284.47x = 24,252,200,072.33
  5. Step 5: Solve for x
    x = 24,252,200,072.33/170,284.47
  6. Step 6: Final answer
    x = 142,421.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.