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Finding the Fourth Proportional to 282,691.20, 424,036.80 and 124,838.40

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Solution

The fourth proportional to 282,691.20, 424,036.80 and 124,838.40 is: 187,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,691.20 : 424,036.80 = 124,838.40 : x
  2. Step 2: Convert to fraction form
    282,691.20/424,036.80 = 124,838.40/x
  3. Step 3: Cross multiply
    282,691.20x = 424,036.80 × 124,838.40
  4. Step 4: Simplify right side
    282,691.20x = 52,936,075,653.12
  5. Step 5: Solve for x
    x = 52,936,075,653.12/282,691.20
  6. Step 6: Final answer
    x = 187,257.60

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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.