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Finding the Fourth Proportional to 536,194.48, 804,402.59 and 157,127.65

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Solution

The fourth proportional to 536,194.48, 804,402.59 and 157,127.65 is: 235,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,194.48 : 804,402.59 = 157,127.65 : x
  2. Step 2: Convert to fraction form
    536,194.48/804,402.59 = 157,127.65/x
  3. Step 3: Cross multiply
    536,194.48x = 804,402.59 × 157,127.65
  4. Step 4: Simplify right side
    536,194.48x = 126,393,888,620.61
  5. Step 5: Solve for x
    x = 126,393,888,620.61/536,194.48
  6. Step 6: Final answer
    x = 235,723.96

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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.