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Finding the Fourth Proportional to 155,474.70, 232,920.45 and 144,977.10

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Solution

The fourth proportional to 155,474.70, 232,920.45 and 144,977.10 is: 217,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,474.70 : 232,920.45 = 144,977.10 : x
  2. Step 2: Convert to fraction form
    155,474.70/232,920.45 = 144,977.10/x
  3. Step 3: Cross multiply
    155,474.70x = 232,920.45 × 144,977.10
  4. Step 4: Simplify right side
    155,474.70x = 33,768,131,371.70
  5. Step 5: Solve for x
    x = 33,768,131,371.70/155,474.70
  6. Step 6: Final answer
    x = 217,193.74

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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.