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Finding the Fourth Proportional to 256,527.32, 354,007.14 and 143,350.08

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Solution

The fourth proportional to 256,527.32, 354,007.14 and 143,350.08 is: 197,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,527.32 : 354,007.14 = 143,350.08 : x
  2. Step 2: Convert to fraction form
    256,527.32/354,007.14 = 143,350.08/x
  3. Step 3: Cross multiply
    256,527.32x = 354,007.14 × 143,350.08
  4. Step 4: Simplify right side
    256,527.32x = 50,746,951,839.57
  5. Step 5: Solve for x
    x = 50,746,951,839.57/256,527.32
  6. Step 6: Final answer
    x = 197,822.80

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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.