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Finding the Fourth Proportional to 157,730.86, 217,668.03 and 86,110.06

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Solution

The fourth proportional to 157,730.86, 217,668.03 and 86,110.06 is: 118,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,730.86 : 217,668.03 = 86,110.06 : x
  2. Step 2: Convert to fraction form
    157,730.86/217,668.03 = 86,110.06/x
  3. Step 3: Cross multiply
    157,730.86x = 217,668.03 × 86,110.06
  4. Step 4: Simplify right side
    157,730.86x = 18,743,407,123.38
  5. Step 5: Solve for x
    x = 18,743,407,123.38/157,730.86
  6. Step 6: Final answer
    x = 118,831.58

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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.