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Finding the Fourth Proportional to 185,707, 256,285.38 and 109,230.04

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Solution

The fourth proportional to 185,707, 256,285.38 and 109,230.04 is: 150,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,707 : 256,285.38 = 109,230.04 : x
  2. Step 2: Convert to fraction form
    185,707/256,285.38 = 109,230.04/x
  3. Step 3: Cross multiply
    185,707x = 256,285.38 × 109,230.04
  4. Step 4: Simplify right side
    185,707x = 27,994,062,308.82
  5. Step 5: Solve for x
    x = 27,994,062,308.82/185,707
  6. Step 6: Final answer
    x = 150,743.17

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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.