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Finding the Fourth Proportional to 418,075.52, 627,154.80 and 133,694.61

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Solution

The fourth proportional to 418,075.52, 627,154.80 and 133,694.61 is: 200,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,075.52 : 627,154.80 = 133,694.61 : x
  2. Step 2: Convert to fraction form
    418,075.52/627,154.80 = 133,694.61/x
  3. Step 3: Cross multiply
    418,075.52x = 627,154.80 × 133,694.61
  4. Step 4: Simplify right side
    418,075.52x = 83,847,216,395.63
  5. Step 5: Solve for x
    x = 83,847,216,395.63/418,075.52
  6. Step 6: Final answer
    x = 200,555.19

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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.