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Finding the Fourth Proportional to 102,243.90, 141,095.12 and 56,921.87

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Solution

The fourth proportional to 102,243.90, 141,095.12 and 56,921.87 is: 78,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,243.90 : 141,095.12 = 56,921.87 : x
  2. Step 2: Convert to fraction form
    102,243.90/141,095.12 = 56,921.87/x
  3. Step 3: Cross multiply
    102,243.90x = 141,095.12 × 56,921.87
  4. Step 4: Simplify right side
    102,243.90x = 8,031,398,146.40
  5. Step 5: Solve for x
    x = 8,031,398,146.40/102,243.90
  6. Step 6: Final answer
    x = 78,551.36

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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.