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Finding the Fourth Proportional to 376,158.24, 564,334.56 and 139,568.40

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Solution

The fourth proportional to 376,158.24, 564,334.56 and 139,568.40 is: 209,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,158.24 : 564,334.56 = 139,568.40 : x
  2. Step 2: Convert to fraction form
    376,158.24/564,334.56 = 139,568.40/x
  3. Step 3: Cross multiply
    376,158.24x = 564,334.56 × 139,568.40
  4. Step 4: Simplify right side
    376,158.24x = 78,763,271,603.90
  5. Step 5: Solve for x
    x = 78,763,271,603.90/376,158.24
  6. Step 6: Final answer
    x = 209,388.66

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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.