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Finding the Fourth Proportional to 251,661.46, 377,443.46 and 97,787.19

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Solution

The fourth proportional to 251,661.46, 377,443.46 and 97,787.19 is: 146,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,661.46 : 377,443.46 = 97,787.19 : x
  2. Step 2: Convert to fraction form
    251,661.46/377,443.46 = 97,787.19/x
  3. Step 3: Cross multiply
    251,661.46x = 377,443.46 × 97,787.19
  4. Step 4: Simplify right side
    251,661.46x = 36,909,135,337.28
  5. Step 5: Solve for x
    x = 36,909,135,337.28/251,661.46
  6. Step 6: Final answer
    x = 146,661.85

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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.