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Finding the Fourth Proportional to 116,770.77, 175,139.42 and 66,688.47

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Solution

The fourth proportional to 116,770.77, 175,139.42 and 66,688.47 is: 100,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,770.77 : 175,139.42 = 66,688.47 : x
  2. Step 2: Convert to fraction form
    116,770.77/175,139.42 = 66,688.47/x
  3. Step 3: Cross multiply
    116,770.77x = 175,139.42 × 66,688.47
  4. Step 4: Simplify right side
    116,770.77x = 11,679,779,623.05
  5. Step 5: Solve for x
    x = 11,679,779,623.05/116,770.77
  6. Step 6: Final answer
    x = 100,023.14

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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.