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Finding the Fourth Proportional to 207,089.59, 310,228.42 and 107,315.23

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Solution

The fourth proportional to 207,089.59, 310,228.42 and 107,315.23 is: 160,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,089.59 : 310,228.42 = 107,315.23 : x
  2. Step 2: Convert to fraction form
    207,089.59/310,228.42 = 107,315.23/x
  3. Step 3: Cross multiply
    207,089.59x = 310,228.42 × 107,315.23
  4. Step 4: Simplify right side
    207,089.59x = 33,292,234,364.33
  5. Step 5: Solve for x
    x = 33,292,234,364.33/207,089.59
  6. Step 6: Final answer
    x = 160,762.47

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1.5x scale

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.