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Finding the Fourth Proportional to 153,020.52, 211,174.65 and 85,037.22

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Solution

The fourth proportional to 153,020.52, 211,174.65 and 85,037.22 is: 117,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,020.52 : 211,174.65 = 85,037.22 : x
  2. Step 2: Convert to fraction form
    153,020.52/211,174.65 = 85,037.22/x
  3. Step 3: Cross multiply
    153,020.52x = 211,174.65 × 85,037.22
  4. Step 4: Simplify right side
    153,020.52x = 17,957,705,170.47
  5. Step 5: Solve for x
    x = 17,957,705,170.47/153,020.52
  6. Step 6: Final answer
    x = 117,354.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.