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Finding the Fourth Proportional to 102,352.70, 141,254.85 and 56,420.51

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Solution

The fourth proportional to 102,352.70, 141,254.85 and 56,420.51 is: 77,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,352.70 : 141,254.85 = 56,420.51 : x
  2. Step 2: Convert to fraction form
    102,352.70/141,254.85 = 56,420.51/x
  3. Step 3: Cross multiply
    102,352.70x = 141,254.85 × 56,420.51
  4. Step 4: Simplify right side
    102,352.70x = 7,969,670,676.97
  5. Step 5: Solve for x
    x = 7,969,670,676.97/102,352.70
  6. Step 6: Final answer
    x = 77,864.78

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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.