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Finding the Fourth Proportional to 256,686.84, 354,085.66 and 149,245

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Solution

The fourth proportional to 256,686.84, 354,085.66 and 149,245 is: 205,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,686.84 : 354,085.66 = 149,245 : x
  2. Step 2: Convert to fraction form
    256,686.84/354,085.66 = 149,245/x
  3. Step 3: Cross multiply
    256,686.84x = 354,085.66 × 149,245
  4. Step 4: Simplify right side
    256,686.84x = 52,845,514,326.70
  5. Step 5: Solve for x
    x = 52,845,514,326.70/256,686.84
  6. Step 6: Final answer
    x = 205,875.43

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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.