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Finding the Fourth Proportional to 113,406.24, 156,494.52 and 63,102

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Solution

The fourth proportional to 113,406.24, 156,494.52 and 63,102 is: 87,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,406.24 : 156,494.52 = 63,102 : x
  2. Step 2: Convert to fraction form
    113,406.24/156,494.52 = 63,102/x
  3. Step 3: Cross multiply
    113,406.24x = 156,494.52 × 63,102
  4. Step 4: Simplify right side
    113,406.24x = 9,875,117,201.04
  5. Step 5: Solve for x
    x = 9,875,117,201.04/113,406.24
  6. Step 6: Final answer
    x = 87,077.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.