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Finding the Fourth Proportional to 145,333.66, 217,998.32 and 40,150.30

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Solution

The fourth proportional to 145,333.66, 217,998.32 and 40,150.30 is: 60,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,333.66 : 217,998.32 = 40,150.30 : x
  2. Step 2: Convert to fraction form
    145,333.66/217,998.32 = 40,150.30/x
  3. Step 3: Cross multiply
    145,333.66x = 217,998.32 × 40,150.30
  4. Step 4: Simplify right side
    145,333.66x = 8,752,697,947.50
  5. Step 5: Solve for x
    x = 8,752,697,947.50/145,333.66
  6. Step 6: Final answer
    x = 60,224.85

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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.