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Finding the Fourth Proportional to 134,715.30, 202,291.65 and 75,666.30

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Solution

The fourth proportional to 134,715.30, 202,291.65 and 75,666.30 is: 113,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,715.30 : 202,291.65 = 75,666.30 : x
  2. Step 2: Convert to fraction form
    134,715.30/202,291.65 = 75,666.30/x
  3. Step 3: Cross multiply
    134,715.30x = 202,291.65 × 75,666.30
  4. Step 4: Simplify right side
    134,715.30x = 15,306,660,676.40
  5. Step 5: Solve for x
    x = 15,306,660,676.40/134,715.30
  6. Step 6: Final answer
    x = 113,622.29

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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.