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Finding the Fourth Proportional to 256,029.54, 353,264.22 and 148,537.32

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Solution

The fourth proportional to 256,029.54, 353,264.22 and 148,537.32 is: 204,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,029.54 : 353,264.22 = 148,537.32 : x
  2. Step 2: Convert to fraction form
    256,029.54/353,264.22 = 148,537.32/x
  3. Step 3: Cross multiply
    256,029.54x = 353,264.22 × 148,537.32
  4. Step 4: Simplify right side
    256,029.54x = 52,472,920,490.69
  5. Step 5: Solve for x
    x = 52,472,920,490.69/256,029.54
  6. Step 6: Final answer
    x = 204,948.70

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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.