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Finding the Fourth Proportional to 153,205.92, 229,327.92 and 96,851.52

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Solution

The fourth proportional to 153,205.92, 229,327.92 and 96,851.52 is: 144,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,205.92 : 229,327.92 = 96,851.52 : x
  2. Step 2: Convert to fraction form
    153,205.92/229,327.92 = 96,851.52/x
  3. Step 3: Cross multiply
    153,205.92x = 229,327.92 × 96,851.52
  4. Step 4: Simplify right side
    153,205.92x = 22,210,757,630.44
  5. Step 5: Solve for x
    x = 22,210,757,630.44/153,205.92
  6. Step 6: Final answer
    x = 144,973.23

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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.