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Finding the Fourth Proportional to 256,666.30, 354,201.84 and 141,939.02

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Solution

The fourth proportional to 256,666.30, 354,201.84 and 141,939.02 is: 195,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,666.30 : 354,201.84 = 141,939.02 : x
  2. Step 2: Convert to fraction form
    256,666.30/354,201.84 = 141,939.02/x
  3. Step 3: Cross multiply
    256,666.30x = 354,201.84 × 141,939.02
  4. Step 4: Simplify right side
    256,666.30x = 50,275,060,280.79
  5. Step 5: Solve for x
    x = 50,275,060,280.79/256,666.30
  6. Step 6: Final answer
    x = 195,877.14

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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.