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Finding the Fourth Proportional to 102,363.72, 141,256.10 and 56,414.24

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Solution

The fourth proportional to 102,363.72, 141,256.10 and 56,414.24 is: 77,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,363.72 : 141,256.10 = 56,414.24 : x
  2. Step 2: Convert to fraction form
    102,363.72/141,256.10 = 56,414.24/x
  3. Step 3: Cross multiply
    102,363.72x = 141,256.10 × 56,414.24
  4. Step 4: Simplify right side
    102,363.72x = 7,968,854,538.51
  5. Step 5: Solve for x
    x = 7,968,854,538.51/102,363.72
  6. Step 6: Final answer
    x = 77,848.43

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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.