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Finding the Fourth Proportional to 157,003.02, 216,658.13 and 85,383.13

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Solution

The fourth proportional to 157,003.02, 216,658.13 and 85,383.13 is: 117,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,003.02 : 216,658.13 = 85,383.13 : x
  2. Step 2: Convert to fraction form
    157,003.02/216,658.13 = 85,383.13/x
  3. Step 3: Cross multiply
    157,003.02x = 216,658.13 × 85,383.13
  4. Step 4: Simplify right side
    157,003.02x = 18,498,949,279.35
  5. Step 5: Solve for x
    x = 18,498,949,279.35/157,003.02
  6. Step 6: Final answer
    x = 117,825.44

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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.