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Finding the Fourth Proportional to 282,675.20, 424,012.80 and 125,211.20

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Solution

The fourth proportional to 282,675.20, 424,012.80 and 125,211.20 is: 187,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,675.20 : 424,012.80 = 125,211.20 : x
  2. Step 2: Convert to fraction form
    282,675.20/424,012.80 = 125,211.20/x
  3. Step 3: Cross multiply
    282,675.20x = 424,012.80 × 125,211.20
  4. Step 4: Simplify right side
    282,675.20x = 53,091,151,503.36
  5. Step 5: Solve for x
    x = 53,091,151,503.36/282,675.20
  6. Step 6: Final answer
    x = 187,816.80

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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.