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Finding the Fourth Proportional to 157,698.15, 217,594.34 and 89,711.16

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Solution

The fourth proportional to 157,698.15, 217,594.34 and 89,711.16 is: 123,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,698.15 : 217,594.34 = 89,711.16 : x
  2. Step 2: Convert to fraction form
    157,698.15/217,594.34 = 89,711.16/x
  3. Step 3: Cross multiply
    157,698.15x = 217,594.34 × 89,711.16
  4. Step 4: Simplify right side
    157,698.15x = 19,520,639,562.86
  5. Step 5: Solve for x
    x = 19,520,639,562.86/157,698.15
  6. Step 6: Final answer
    x = 123,784.84

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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.