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Finding the Fourth Proportional to 113,727.43, 156,893.13 and 65,953.12

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Solution

The fourth proportional to 113,727.43, 156,893.13 and 65,953.12 is: 90,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,727.43 : 156,893.13 = 65,953.12 : x
  2. Step 2: Convert to fraction form
    113,727.43/156,893.13 = 65,953.12/x
  3. Step 3: Cross multiply
    113,727.43x = 156,893.13 × 65,953.12
  4. Step 4: Simplify right side
    113,727.43x = 10,347,591,430.07
  5. Step 5: Solve for x
    x = 10,347,591,430.07/113,727.43
  6. Step 6: Final answer
    x = 90,985.89

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1.5x scale

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.