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Finding the Fourth Proportional to 256,144.68, 353,424.87 and 148,657.28

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Solution

The fourth proportional to 256,144.68, 353,424.87 and 148,657.28 is: 205,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,144.68 : 353,424.87 = 148,657.28 : x
  2. Step 2: Convert to fraction form
    256,144.68/353,424.87 = 148,657.28/x
  3. Step 3: Cross multiply
    256,144.68x = 353,424.87 × 148,657.28
  4. Step 4: Simplify right side
    256,144.68x = 52,539,178,091.43
  5. Step 5: Solve for x
    x = 52,539,178,091.43/256,144.68
  6. Step 6: Final answer
    x = 205,115.24

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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.