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Finding the Fourth Proportional to 130,314.42, 179,853.24 and 82,572.24

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Solution

The fourth proportional to 130,314.42, 179,853.24 and 82,572.24 is: 113,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,314.42 : 179,853.24 = 82,572.24 : x
  2. Step 2: Convert to fraction form
    130,314.42/179,853.24 = 82,572.24/x
  3. Step 3: Cross multiply
    130,314.42x = 179,853.24 × 82,572.24
  4. Step 4: Simplify right side
    130,314.42x = 14,850,884,898.06
  5. Step 5: Solve for x
    x = 14,850,884,898.06/130,314.42
  6. Step 6: Final answer
    x = 113,961.95

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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.