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Finding the Fourth Proportional to 157,007.42, 216,668.18 and 85,385.90

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Solution

The fourth proportional to 157,007.42, 216,668.18 and 85,385.90 is: 117,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,007.42 : 216,668.18 = 85,385.90 : x
  2. Step 2: Convert to fraction form
    157,007.42/216,668.18 = 85,385.90/x
  3. Step 3: Cross multiply
    157,007.42x = 216,668.18 × 85,385.90
  4. Step 4: Simplify right side
    157,007.42x = 18,500,407,550.66
  5. Step 5: Solve for x
    x = 18,500,407,550.66/157,007.42
  6. Step 6: Final answer
    x = 117,831.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.