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Finding the Fourth Proportional to 107,032.72, 147,753.84 and 76,428.76

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Solution

The fourth proportional to 107,032.72, 147,753.84 and 76,428.76 is: 105,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,032.72 : 147,753.84 = 76,428.76 : x
  2. Step 2: Convert to fraction form
    107,032.72/147,753.84 = 76,428.76/x
  3. Step 3: Cross multiply
    107,032.72x = 147,753.84 × 76,428.76
  4. Step 4: Simplify right side
    107,032.72x = 11,292,642,776.44
  5. Step 5: Solve for x
    x = 11,292,642,776.44/107,032.72
  6. Step 6: Final answer
    x = 105,506.45

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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.