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Finding the Fourth Proportional to 256,029.92, 353,264.73 and 148,537.70

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Solution

The fourth proportional to 256,029.92, 353,264.73 and 148,537.70 is: 204,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,029.92 : 353,264.73 = 148,537.70 : x
  2. Step 2: Convert to fraction form
    256,029.92/353,264.73 = 148,537.70/x
  3. Step 3: Cross multiply
    256,029.92x = 353,264.73 × 148,537.70
  4. Step 4: Simplify right side
    256,029.92x = 52,473,128,719.00
  5. Step 5: Solve for x
    x = 52,473,128,719.00/256,029.92
  6. Step 6: Final answer
    x = 204,949.21

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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.