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Finding the Fourth Proportional to 185,713.86, 256,282.49 and 100,834.18

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Solution

The fourth proportional to 185,713.86, 256,282.49 and 100,834.18 is: 139,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,713.86 : 256,282.49 = 100,834.18 : x
  2. Step 2: Convert to fraction form
    185,713.86/256,282.49 = 100,834.18/x
  3. Step 3: Cross multiply
    185,713.86x = 256,282.49 × 100,834.18
  4. Step 4: Simplify right side
    185,713.86x = 25,842,034,727.51
  5. Step 5: Solve for x
    x = 25,842,034,727.51/185,713.86
  6. Step 6: Final answer
    x = 139,149.74

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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.