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Finding the Fourth Proportional to 153,203.91, 229,827.38 and 40,887.78

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Solution

The fourth proportional to 153,203.91, 229,827.38 and 40,887.78 is: 61,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,203.91 : 229,827.38 = 40,887.78 : x
  2. Step 2: Convert to fraction form
    153,203.91/229,827.38 = 40,887.78/x
  3. Step 3: Cross multiply
    153,203.91x = 229,827.38 × 40,887.78
  4. Step 4: Simplify right side
    153,203.91x = 9,397,131,351.42
  5. Step 5: Solve for x
    x = 9,397,131,351.42/153,203.91
  6. Step 6: Final answer
    x = 61,337.41

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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.