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Finding the Fourth Proportional to 265,065.28, 365,781.76 and 144,203.49

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Solution

The fourth proportional to 265,065.28, 365,781.76 and 144,203.49 is: 198,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,065.28 : 365,781.76 = 144,203.49 : x
  2. Step 2: Convert to fraction form
    265,065.28/365,781.76 = 144,203.49/x
  3. Step 3: Cross multiply
    265,065.28x = 365,781.76 × 144,203.49
  4. Step 4: Simplify right side
    265,065.28x = 52,747,006,009.83
  5. Step 5: Solve for x
    x = 52,747,006,009.83/265,065.28
  6. Step 6: Final answer
    x = 198,996.29

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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.