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Finding the Fourth Proportional to 224,825.78, 310,404.21 and 144,288.02

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Solution

The fourth proportional to 224,825.78, 310,404.21 and 144,288.02 is: 199,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,825.78 : 310,404.21 = 144,288.02 : x
  2. Step 2: Convert to fraction form
    224,825.78/310,404.21 = 144,288.02/x
  3. Step 3: Cross multiply
    224,825.78x = 310,404.21 × 144,288.02
  4. Step 4: Simplify right side
    224,825.78x = 44,787,608,860.56
  5. Step 5: Solve for x
    x = 44,787,608,860.56/224,825.78
  6. Step 6: Final answer
    x = 199,210.29

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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.