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Finding the Fourth Proportional to 153,324.59, 230,033.98 and 78,497.28

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Solution

The fourth proportional to 153,324.59, 230,033.98 and 78,497.28 is: 117,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,324.59 : 230,033.98 = 78,497.28 : x
  2. Step 2: Convert to fraction form
    153,324.59/230,033.98 = 78,497.28/x
  3. Step 3: Cross multiply
    153,324.59x = 230,033.98 × 78,497.28
  4. Step 4: Simplify right side
    153,324.59x = 18,057,041,737.57
  5. Step 5: Solve for x
    x = 18,057,041,737.57/153,324.59
  6. Step 6: Final answer
    x = 117,770.03

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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.