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Finding the Fourth Proportional to 102,546.34, 141,513.98 and 56,606.01

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Solution

The fourth proportional to 102,546.34, 141,513.98 and 56,606.01 is: 78,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546.34 : 141,513.98 = 56,606.01 : x
  2. Step 2: Convert to fraction form
    102,546.34/141,513.98 = 56,606.01/x
  3. Step 3: Cross multiply
    102,546.34x = 141,513.98 × 56,606.01
  4. Step 4: Simplify right side
    102,546.34x = 8,010,542,545.35
  5. Step 5: Solve for x
    x = 8,010,542,545.35/102,546.34
  6. Step 6: Final answer
    x = 78,116.32

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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.