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Finding the Fourth Proportional to 158,493.64, 218,743.65 and 98,083.74

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Solution

The fourth proportional to 158,493.64, 218,743.65 and 98,083.74 is: 135,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,493.64 : 218,743.65 = 98,083.74 : x
  2. Step 2: Convert to fraction form
    158,493.64/218,743.65 = 98,083.74/x
  3. Step 3: Cross multiply
    158,493.64x = 218,743.65 × 98,083.74
  4. Step 4: Simplify right side
    158,493.64x = 21,455,195,293.25
  5. Step 5: Solve for x
    x = 21,455,195,293.25/158,493.64
  6. Step 6: Final answer
    x = 135,369.44

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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.