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Finding the Fourth Proportional to 102,105.36, 140,901.12 and 56,781

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Solution

The fourth proportional to 102,105.36, 140,901.12 and 56,781 is: 78,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,105.36 : 140,901.12 = 56,781 : x
  2. Step 2: Convert to fraction form
    102,105.36/140,901.12 = 56,781/x
  3. Step 3: Cross multiply
    102,105.36x = 140,901.12 × 56,781
  4. Step 4: Simplify right side
    102,105.36x = 8,000,506,494.72
  5. Step 5: Solve for x
    x = 8,000,506,494.72/102,105.36
  6. Step 6: Final answer
    x = 78,355.40

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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.