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Finding the Fourth Proportional to 207,309.16, 310,911.90 and 59,565.16

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Solution

The fourth proportional to 207,309.16, 310,911.90 and 59,565.16 is: 89,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,309.16 : 310,911.90 = 59,565.16 : x
  2. Step 2: Convert to fraction form
    207,309.16/310,911.90 = 59,565.16/x
  3. Step 3: Cross multiply
    207,309.16x = 310,911.90 × 59,565.16
  4. Step 4: Simplify right side
    207,309.16x = 18,519,517,069.40
  5. Step 5: Solve for x
    x = 18,519,517,069.40/207,309.16
  6. Step 6: Final answer
    x = 89,332.85

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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.