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Finding the Fourth Proportional to 113,497.11, 156,602.25 and 65,747.61

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Solution

The fourth proportional to 113,497.11, 156,602.25 and 65,747.61 is: 90,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,497.11 : 156,602.25 = 65,747.61 : x
  2. Step 2: Convert to fraction form
    113,497.11/156,602.25 = 65,747.61/x
  3. Step 3: Cross multiply
    113,497.11x = 156,602.25 × 65,747.61
  4. Step 4: Simplify right side
    113,497.11x = 10,296,223,658.12
  5. Step 5: Solve for x
    x = 10,296,223,658.12/113,497.11
  6. Step 6: Final answer
    x = 90,717.94

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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.