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Finding the Fourth Proportional to 256,684.40, 354,206.48 and 149,246.82

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Solution

The fourth proportional to 256,684.40, 354,206.48 and 149,246.82 is: 205,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,684.40 : 354,206.48 = 149,246.82 : x
  2. Step 2: Convert to fraction form
    256,684.40/354,206.48 = 149,246.82/x
  3. Step 3: Cross multiply
    256,684.40x = 354,206.48 × 149,246.82
  4. Step 4: Simplify right side
    256,684.40x = 52,864,190,763.39
  5. Step 5: Solve for x
    x = 52,864,190,763.39/256,684.40
  6. Step 6: Final answer
    x = 205,950.15

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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.