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Finding the Fourth Proportional to 102,197.13, 153,320.31 and 32,076.42

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Solution

The fourth proportional to 102,197.13, 153,320.31 and 32,076.42 is: 48,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197.13 : 153,320.31 = 32,076.42 : x
  2. Step 2: Convert to fraction form
    102,197.13/153,320.31 = 32,076.42/x
  3. Step 3: Cross multiply
    102,197.13x = 153,320.31 × 32,076.42
  4. Step 4: Simplify right side
    102,197.13x = 4,917,966,658.09
  5. Step 5: Solve for x
    x = 4,917,966,658.09/102,197.13
  6. Step 6: Final answer
    x = 48,122.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.