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Finding the Fourth Proportional to 102,377.70, 141,279.06 and 57,059.82

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Solution

The fourth proportional to 102,377.70, 141,279.06 and 57,059.82 is: 78,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,377.70 : 141,279.06 = 57,059.82 : x
  2. Step 2: Convert to fraction form
    102,377.70/141,279.06 = 57,059.82/x
  3. Step 3: Cross multiply
    102,377.70x = 141,279.06 × 57,059.82
  4. Step 4: Simplify right side
    102,377.70x = 8,061,357,733.37
  5. Step 5: Solve for x
    x = 8,061,357,733.37/102,377.70
  6. Step 6: Final answer
    x = 78,741.34

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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.