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Finding the Fourth Proportional to 166,691.76, 229,795.50 and 118,862.16

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Solution

The fourth proportional to 166,691.76, 229,795.50 and 118,862.16 is: 163,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,691.76 : 229,795.50 = 118,862.16 : x
  2. Step 2: Convert to fraction form
    166,691.76/229,795.50 = 118,862.16/x
  3. Step 3: Cross multiply
    166,691.76x = 229,795.50 × 118,862.16
  4. Step 4: Simplify right side
    166,691.76x = 27,313,989,488.28
  5. Step 5: Solve for x
    x = 27,313,989,488.28/166,691.76
  6. Step 6: Final answer
    x = 163,859.27

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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.