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Finding the Fourth Proportional to 158,523.52, 218,784.80 and 98,113.44

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Solution

The fourth proportional to 158,523.52, 218,784.80 and 98,113.44 is: 135,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,523.52 : 218,784.80 = 98,113.44 : x
  2. Step 2: Convert to fraction form
    158,523.52/218,784.80 = 98,113.44/x
  3. Step 3: Cross multiply
    158,523.52x = 218,784.80 × 98,113.44
  4. Step 4: Simplify right side
    158,523.52x = 21,465,729,347.71
  5. Step 5: Solve for x
    x = 21,465,729,347.71/158,523.52
  6. Step 6: Final answer
    x = 135,410.38

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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.