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Finding the Fourth Proportional to 224,805.27, 310,438.46 and 144,372.93

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Solution

The fourth proportional to 224,805.27, 310,438.46 and 144,372.93 is: 199,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,805.27 : 310,438.46 = 144,372.93 : x
  2. Step 2: Convert to fraction form
    224,805.27/310,438.46 = 144,372.93/x
  3. Step 3: Cross multiply
    224,805.27x = 310,438.46 × 144,372.93
  4. Step 4: Simplify right side
    224,805.27x = 44,818,908,439.58
  5. Step 5: Solve for x
    x = 44,818,908,439.58/224,805.27
  6. Step 6: Final answer
    x = 199,367.69

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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.