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Finding the Fourth Proportional to 113,698.25, 156,904.79 and 62,713.20

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Solution

The fourth proportional to 113,698.25, 156,904.79 and 62,713.20 is: 86,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,698.25 : 156,904.79 = 62,713.20 : x
  2. Step 2: Convert to fraction form
    113,698.25/156,904.79 = 62,713.20/x
  3. Step 3: Cross multiply
    113,698.25x = 156,904.79 × 62,713.20
  4. Step 4: Simplify right side
    113,698.25x = 9,840,001,476.23
  5. Step 5: Solve for x
    x = 9,840,001,476.23/113,698.25
  6. Step 6: Final answer
    x = 86,544.88

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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.