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Finding the Fourth Proportional to 224,432.84, 309,717.15 and 123,830.84

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Solution

The fourth proportional to 224,432.84, 309,717.15 and 123,830.84 is: 170,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,432.84 : 309,717.15 = 123,830.84 : x
  2. Step 2: Convert to fraction form
    224,432.84/309,717.15 = 123,830.84/x
  3. Step 3: Cross multiply
    224,432.84x = 309,717.15 × 123,830.84
  4. Step 4: Simplify right side
    224,432.84x = 38,352,534,846.91
  5. Step 5: Solve for x
    x = 38,352,534,846.91/224,432.84
  6. Step 6: Final answer
    x = 170,886.47

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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.