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Finding the Fourth Proportional to 117,221.46, 175,854.10 and 38,339.96

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Solution

The fourth proportional to 117,221.46, 175,854.10 and 38,339.96 is: 57,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,221.46 : 175,854.10 = 38,339.96 : x
  2. Step 2: Convert to fraction form
    117,221.46/175,854.10 = 38,339.96/x
  3. Step 3: Cross multiply
    117,221.46x = 175,854.10 × 38,339.96
  4. Step 4: Simplify right side
    117,221.46x = 6,742,239,159.84
  5. Step 5: Solve for x
    x = 6,742,239,159.84/117,221.46
  6. Step 6: Final answer
    x = 57,517.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.