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Finding the Fourth Proportional to 256,395.73, 353,739.47 and 148,877.34

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Solution

The fourth proportional to 256,395.73, 353,739.47 and 148,877.34 is: 205,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,395.73 : 353,739.47 = 148,877.34 : x
  2. Step 2: Convert to fraction form
    256,395.73/353,739.47 = 148,877.34/x
  3. Step 3: Cross multiply
    256,395.73x = 353,739.47 × 148,877.34
  4. Step 4: Simplify right side
    256,395.73x = 52,663,790,602.22
  5. Step 5: Solve for x
    x = 52,663,790,602.22/256,395.73
  6. Step 6: Final answer
    x = 205,400.42

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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.