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Finding the Fourth Proportional to 153,498, 230,378.22 and 60,069.36

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Solution

The fourth proportional to 153,498, 230,378.22 and 60,069.36 is: 90,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,498 : 230,378.22 = 60,069.36 : x
  2. Step 2: Convert to fraction form
    153,498/230,378.22 = 60,069.36/x
  3. Step 3: Cross multiply
    153,498x = 230,378.22 × 60,069.36
  4. Step 4: Simplify right side
    153,498x = 13,838,672,233.34
  5. Step 5: Solve for x
    x = 13,838,672,233.34/153,498
  6. Step 6: Final answer
    x = 90,155.39

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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.