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Finding the Fourth Proportional to 224,797.69, 310,217.14 and 122,820.95

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Solution

The fourth proportional to 224,797.69, 310,217.14 and 122,820.95 is: 169,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,797.69 : 310,217.14 = 122,820.95 : x
  2. Step 2: Convert to fraction form
    224,797.69/310,217.14 = 122,820.95/x
  3. Step 3: Cross multiply
    224,797.69x = 310,217.14 × 122,820.95
  4. Step 4: Simplify right side
    224,797.69x = 38,101,164,770.15
  5. Step 5: Solve for x
    x = 38,101,164,770.15/224,797.69
  6. Step 6: Final answer
    x = 169,490.91

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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.