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Finding the Fourth Proportional to 224,901.26, 310,333.78 and 144,437.78

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Solution

The fourth proportional to 224,901.26, 310,333.78 and 144,437.78 is: 199,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,901.26 : 310,333.78 = 144,437.78 : x
  2. Step 2: Convert to fraction form
    224,901.26/310,333.78 = 144,437.78/x
  3. Step 3: Cross multiply
    224,901.26x = 310,333.78 × 144,437.78
  4. Step 4: Simplify right side
    224,901.26x = 44,823,923,198.59
  5. Step 5: Solve for x
    x = 44,823,923,198.59/224,901.26
  6. Step 6: Final answer
    x = 199,304.90

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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.