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Finding the Fourth Proportional to 113,142.24, 169,836.48 and 65,809.08

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Solution

The fourth proportional to 113,142.24, 169,836.48 and 65,809.08 is: 98,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,142.24 : 169,836.48 = 65,809.08 : x
  2. Step 2: Convert to fraction form
    113,142.24/169,836.48 = 65,809.08/x
  3. Step 3: Cross multiply
    113,142.24x = 169,836.48 × 65,809.08
  4. Step 4: Simplify right side
    113,142.24x = 11,176,782,499.24
  5. Step 5: Solve for x
    x = 11,176,782,499.24/113,142.24
  6. Step 6: Final answer
    x = 98,785.23

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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.