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Finding the Fourth Proportional to 256,886.05, 354,574.06 and 149,476.90

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Solution

The fourth proportional to 256,886.05, 354,574.06 and 149,476.90 is: 206,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,886.05 : 354,574.06 = 149,476.90 : x
  2. Step 2: Convert to fraction form
    256,886.05/354,574.06 = 149,476.90/x
  3. Step 3: Cross multiply
    256,886.05x = 354,574.06 × 149,476.90
  4. Step 4: Simplify right side
    256,886.05x = 53,000,631,309.21
  5. Step 5: Solve for x
    x = 53,000,631,309.21/256,886.05
  6. Step 6: Final answer
    x = 206,319.62

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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.