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Finding the Fourth Proportional to 376,586.98, 564,880 and 96,104.24

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Solution

The fourth proportional to 376,586.98, 564,880 and 96,104.24 is: 144,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,586.98 : 564,880 = 96,104.24 : x
  2. Step 2: Convert to fraction form
    376,586.98/564,880 = 96,104.24/x
  3. Step 3: Cross multiply
    376,586.98x = 564,880 × 96,104.24
  4. Step 4: Simplify right side
    376,586.98x = 54,287,363,091.20
  5. Step 5: Solve for x
    x = 54,287,363,091.20/376,586.98
  6. Step 6: Final answer
    x = 144,156.24

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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.