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Finding the Fourth Proportional to 155,462.78, 233,200.20 and 48,919.40

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Solution

The fourth proportional to 155,462.78, 233,200.20 and 48,919.40 is: 73,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,462.78 : 233,200.20 = 48,919.40 : x
  2. Step 2: Convert to fraction form
    155,462.78/233,200.20 = 48,919.40/x
  3. Step 3: Cross multiply
    155,462.78x = 233,200.20 × 48,919.40
  4. Step 4: Simplify right side
    155,462.78x = 11,408,013,863.88
  5. Step 5: Solve for x
    x = 11,408,013,863.88/155,462.78
  6. Step 6: Final answer
    x = 73,381.00

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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.