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Finding the Fourth Proportional to 102,424.14, 141,345.90 and 57,105

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Solution

The fourth proportional to 102,424.14, 141,345.90 and 57,105 is: 78,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,424.14 : 141,345.90 = 57,105 : x
  2. Step 2: Convert to fraction form
    102,424.14/141,345.90 = 57,105/x
  3. Step 3: Cross multiply
    102,424.14x = 141,345.90 × 57,105
  4. Step 4: Simplify right side
    102,424.14x = 8,071,557,619.50
  5. Step 5: Solve for x
    x = 8,071,557,619.50/102,424.14
  6. Step 6: Final answer
    x = 78,805.23

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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.