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Finding the Fourth Proportional to 256,184.70, 353,507.52 and 148,734.55

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Solution

The fourth proportional to 256,184.70, 353,507.52 and 148,734.55 is: 205,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,184.70 : 353,507.52 = 148,734.55 : x
  2. Step 2: Convert to fraction form
    256,184.70/353,507.52 = 148,734.55/x
  3. Step 3: Cross multiply
    256,184.70x = 353,507.52 × 148,734.55
  4. Step 4: Simplify right side
    256,184.70x = 52,578,781,908.82
  5. Step 5: Solve for x
    x = 52,578,781,908.82/256,184.70
  6. Step 6: Final answer
    x = 205,237.79

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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.