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Finding the Fourth Proportional to 157,468.80, 236,203.20 and 138,769.95

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Solution

The fourth proportional to 157,468.80, 236,203.20 and 138,769.95 is: 208,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,468.80 : 236,203.20 = 138,769.95 : x
  2. Step 2: Convert to fraction form
    157,468.80/236,203.20 = 138,769.95/x
  3. Step 3: Cross multiply
    157,468.80x = 236,203.20 × 138,769.95
  4. Step 4: Simplify right side
    157,468.80x = 32,777,906,253.84
  5. Step 5: Solve for x
    x = 32,777,906,253.84/157,468.80
  6. Step 6: Final answer
    x = 208,154.93

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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.