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Finding the Fourth Proportional to 275,281.62, 412,963.47 and 97,773.72

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Solution

The fourth proportional to 275,281.62, 412,963.47 and 97,773.72 is: 146,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,281.62 : 412,963.47 = 97,773.72 : x
  2. Step 2: Convert to fraction form
    275,281.62/412,963.47 = 97,773.72/x
  3. Step 3: Cross multiply
    275,281.62x = 412,963.47 × 97,773.72
  4. Step 4: Simplify right side
    275,281.62x = 40,376,974,686.01
  5. Step 5: Solve for x
    x = 40,376,974,686.01/275,281.62
  6. Step 6: Final answer
    x = 146,675.16

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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.