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Finding the Fourth Proportional to 153,009.60, 211,149.01 and 85,024.81

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Solution

The fourth proportional to 153,009.60, 211,149.01 and 85,024.81 is: 117,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,009.60 : 211,149.01 = 85,024.81 : x
  2. Step 2: Convert to fraction form
    153,009.60/211,149.01 = 85,024.81/x
  3. Step 3: Cross multiply
    153,009.60x = 211,149.01 × 85,024.81
  4. Step 4: Simplify right side
    153,009.60x = 17,952,904,456.94
  5. Step 5: Solve for x
    x = 17,952,904,456.94/153,009.60
  6. Step 6: Final answer
    x = 117,331.88

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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.