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Finding the Fourth Proportional to 153,067.50, 229,614.48 and 42,259.50

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Solution

The fourth proportional to 153,067.50, 229,614.48 and 42,259.50 is: 63,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,067.50 : 229,614.48 = 42,259.50 : x
  2. Step 2: Convert to fraction form
    153,067.50/229,614.48 = 42,259.50/x
  3. Step 3: Cross multiply
    153,067.50x = 229,614.48 × 42,259.50
  4. Step 4: Simplify right side
    153,067.50x = 9,703,393,117.56
  5. Step 5: Solve for x
    x = 9,703,393,117.56/153,067.50
  6. Step 6: Final answer
    x = 63,392.90

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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.