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Finding the Fourth Proportional to 224,283.74, 309,510.52 and 123,681.74

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Solution

The fourth proportional to 224,283.74, 309,510.52 and 123,681.74 is: 170,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,283.74 : 309,510.52 = 123,681.74 : x
  2. Step 2: Convert to fraction form
    224,283.74/309,510.52 = 123,681.74/x
  3. Step 3: Cross multiply
    224,283.74x = 309,510.52 × 123,681.74
  4. Step 4: Simplify right side
    224,283.74x = 38,280,797,805.15
  5. Step 5: Solve for x
    x = 38,280,797,805.15/224,283.74
  6. Step 6: Final answer
    x = 170,680.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.