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Finding the Fourth Proportional to 256,070.33, 353,358.13 and 148,623.02

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Solution

The fourth proportional to 256,070.33, 353,358.13 and 148,623.02 is: 205,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,070.33 : 353,358.13 = 148,623.02 : x
  2. Step 2: Convert to fraction form
    256,070.33/353,358.13 = 148,623.02/x
  3. Step 3: Cross multiply
    256,070.33x = 353,358.13 × 148,623.02
  4. Step 4: Simplify right side
    256,070.33x = 52,517,149,912.25
  5. Step 5: Solve for x
    x = 52,517,149,912.25/256,070.33
  6. Step 6: Final answer
    x = 205,088.78

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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.