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Finding the Fourth Proportional to 256,007.76, 353,277.78 and 142,808.64

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Solution

The fourth proportional to 256,007.76, 353,277.78 and 142,808.64 is: 197,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,007.76 : 353,277.78 = 142,808.64 : x
  2. Step 2: Convert to fraction form
    256,007.76/353,277.78 = 142,808.64/x
  3. Step 3: Cross multiply
    256,007.76x = 353,277.78 × 142,808.64
  4. Step 4: Simplify right side
    256,007.76x = 50,451,119,304.02
  5. Step 5: Solve for x
    x = 50,451,119,304.02/256,007.76
  6. Step 6: Final answer
    x = 197,068.71

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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.