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Finding the Fourth Proportional to 256,686.48, 354,085.13 and 149,244.64

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Solution

The fourth proportional to 256,686.48, 354,085.13 and 149,244.64 is: 205,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,686.48 : 354,085.13 = 149,244.64 : x
  2. Step 2: Convert to fraction form
    256,686.48/354,085.13 = 149,244.64/x
  3. Step 3: Cross multiply
    256,686.48x = 354,085.13 × 149,244.64
  4. Step 4: Simplify right side
    256,686.48x = 52,845,305,985.78
  5. Step 5: Solve for x
    x = 52,845,305,985.78/256,686.48
  6. Step 6: Final answer
    x = 205,874.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.