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Finding the Fourth Proportional to 113,842, 157,103.58 and 63,541

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Solution

The fourth proportional to 113,842, 157,103.58 and 63,541 is: 87,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,842 : 157,103.58 = 63,541 : x
  2. Step 2: Convert to fraction form
    113,842/157,103.58 = 63,541/x
  3. Step 3: Cross multiply
    113,842x = 157,103.58 × 63,541
  4. Step 4: Simplify right side
    113,842x = 9,982,518,576.78
  5. Step 5: Solve for x
    x = 9,982,518,576.78/113,842
  6. Step 6: Final answer
    x = 87,687.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.