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Finding the Fourth Proportional to 153,191.97, 229,790.66 and 53,354.03

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Solution

The fourth proportional to 153,191.97, 229,790.66 and 53,354.03 is: 80,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,191.97 : 229,790.66 = 53,354.03 : x
  2. Step 2: Convert to fraction form
    153,191.97/229,790.66 = 53,354.03/x
  3. Step 3: Cross multiply
    153,191.97x = 229,790.66 × 53,354.03
  4. Step 4: Simplify right side
    153,191.97x = 12,260,256,351.64
  5. Step 5: Solve for x
    x = 12,260,256,351.64/153,191.97
  6. Step 6: Final answer
    x = 80,031.98

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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.