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Finding the Fourth Proportional to 113,357.70, 169,842.15 and 54,065.70

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Solution

The fourth proportional to 113,357.70, 169,842.15 and 54,065.70 is: 81,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,357.70 : 169,842.15 = 54,065.70 : x
  2. Step 2: Convert to fraction form
    113,357.70/169,842.15 = 54,065.70/x
  3. Step 3: Cross multiply
    113,357.70x = 169,842.15 × 54,065.70
  4. Step 4: Simplify right side
    113,357.70x = 9,182,634,729.26
  5. Step 5: Solve for x
    x = 9,182,634,729.26/113,357.70
  6. Step 6: Final answer
    x = 81,005.83

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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.