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Finding the Fourth Proportional to 175,761.29, 263,686.88 and 51,102.29

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Solution

The fourth proportional to 175,761.29, 263,686.88 and 51,102.29 is: 76,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,761.29 : 263,686.88 = 51,102.29 : x
  2. Step 2: Convert to fraction form
    175,761.29/263,686.88 = 51,102.29/x
  3. Step 3: Cross multiply
    175,761.29x = 263,686.88 × 51,102.29
  4. Step 4: Simplify right side
    175,761.29x = 13,475,001,837.01
  5. Step 5: Solve for x
    x = 13,475,001,837.01/175,761.29
  6. Step 6: Final answer
    x = 76,666.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.