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Finding the Fourth Proportional to 244,976.64, 338,152.96 and 144,368

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Solution

The fourth proportional to 244,976.64, 338,152.96 and 144,368 is: 199,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,976.64 : 338,152.96 = 144,368 : x
  2. Step 2: Convert to fraction form
    244,976.64/338,152.96 = 144,368/x
  3. Step 3: Cross multiply
    244,976.64x = 338,152.96 × 144,368
  4. Step 4: Simplify right side
    244,976.64x = 48,818,466,529.28
  5. Step 5: Solve for x
    x = 48,818,466,529.28/244,976.64
  6. Step 6: Final answer
    x = 199,278.05

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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.