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Finding the Fourth Proportional to 170,206, 255,425.64 and 59,398

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Solution

The fourth proportional to 170,206, 255,425.64 and 59,398 is: 89,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,206 : 255,425.64 = 59,398 : x
  2. Step 2: Convert to fraction form
    170,206/255,425.64 = 59,398/x
  3. Step 3: Cross multiply
    170,206x = 255,425.64 × 59,398
  4. Step 4: Simplify right side
    170,206x = 15,171,772,164.72
  5. Step 5: Solve for x
    x = 15,171,772,164.72/170,206
  6. Step 6: Final answer
    x = 89,137.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.