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Finding the Fourth Proportional to 376,617.77, 564,943.74 and 106,765.20

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Solution

The fourth proportional to 376,617.77, 564,943.74 and 106,765.20 is: 160,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,617.77 : 564,943.74 = 106,765.20 : x
  2. Step 2: Convert to fraction form
    376,617.77/564,943.74 = 106,765.20/x
  3. Step 3: Cross multiply
    376,617.77x = 564,943.74 × 106,765.20
  4. Step 4: Simplify right side
    376,617.77x = 60,316,331,389.85
  5. Step 5: Solve for x
    x = 60,316,331,389.85/376,617.77
  6. Step 6: Final answer
    x = 160,152.65

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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.