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Finding the Fourth Proportional to 119,684.92, 165,157.68 and 65,966.98

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Solution

The fourth proportional to 119,684.92, 165,157.68 and 65,966.98 is: 91,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,684.92 : 165,157.68 = 65,966.98 : x
  2. Step 2: Convert to fraction form
    119,684.92/165,157.68 = 65,966.98/x
  3. Step 3: Cross multiply
    119,684.92x = 165,157.68 × 65,966.98
  4. Step 4: Simplify right side
    119,684.92x = 10,894,953,373.41
  5. Step 5: Solve for x
    x = 10,894,953,373.41/119,684.92
  6. Step 6: Final answer
    x = 91,030.29

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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.