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Finding the Fourth Proportional to 172,210.86, 237,641.85 and 96,754.50

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Solution

The fourth proportional to 172,210.86, 237,641.85 and 96,754.50 is: 133,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,210.86 : 237,641.85 = 96,754.50 : x
  2. Step 2: Convert to fraction form
    172,210.86/237,641.85 = 96,754.50/x
  3. Step 3: Cross multiply
    172,210.86x = 237,641.85 × 96,754.50
  4. Step 4: Simplify right side
    172,210.86x = 22,992,918,375.83
  5. Step 5: Solve for x
    x = 22,992,918,375.83/172,210.86
  6. Step 6: Final answer
    x = 133,516.08

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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.