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Finding the Fourth Proportional to 181,046.10, 271,569.15 and 97,065.30

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Solution

The fourth proportional to 181,046.10, 271,569.15 and 97,065.30 is: 145,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,046.10 : 271,569.15 = 97,065.30 : x
  2. Step 2: Convert to fraction form
    181,046.10/271,569.15 = 97,065.30/x
  3. Step 3: Cross multiply
    181,046.10x = 271,569.15 × 97,065.30
  4. Step 4: Simplify right side
    181,046.10x = 26,359,941,015.50
  5. Step 5: Solve for x
    x = 26,359,941,015.50/181,046.10
  6. Step 6: Final answer
    x = 145,597.95

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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.