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Finding the Fourth Proportional to 161,695.20, 242,542.80 and 157,087.20

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Solution

The fourth proportional to 161,695.20, 242,542.80 and 157,087.20 is: 235,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,695.20 : 242,542.80 = 157,087.20 : x
  2. Step 2: Convert to fraction form
    161,695.20/242,542.80 = 157,087.20/x
  3. Step 3: Cross multiply
    161,695.20x = 242,542.80 × 157,087.20
  4. Step 4: Simplify right side
    161,695.20x = 38,100,369,332.16
  5. Step 5: Solve for x
    x = 38,100,369,332.16/161,695.20
  6. Step 6: Final answer
    x = 235,630.80

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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.