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Finding the Fourth Proportional to 153,496, 230,375.22 and 60,067.36

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Solution

The fourth proportional to 153,496, 230,375.22 and 60,067.36 is: 90,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,496 : 230,375.22 = 60,067.36 : x
  2. Step 2: Convert to fraction form
    153,496/230,375.22 = 60,067.36/x
  3. Step 3: Cross multiply
    153,496x = 230,375.22 × 60,067.36
  4. Step 4: Simplify right side
    153,496x = 13,838,031,274.82
  5. Step 5: Solve for x
    x = 13,838,031,274.82/153,496
  6. Step 6: Final answer
    x = 90,152.39

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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.