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Finding the Fourth Proportional to 113,160.96, 169,738.56 and 54,038.40

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Solution

The fourth proportional to 113,160.96, 169,738.56 and 54,038.40 is: 81,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,160.96 : 169,738.56 = 54,038.40 : x
  2. Step 2: Convert to fraction form
    113,160.96/169,738.56 = 54,038.40/x
  3. Step 3: Cross multiply
    113,160.96x = 169,738.56 × 54,038.40
  4. Step 4: Simplify right side
    113,160.96x = 9,172,400,200.70
  5. Step 5: Solve for x
    x = 9,172,400,200.70/113,160.96
  6. Step 6: Final answer
    x = 81,056.22

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Why These Related Problems?

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