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Finding the Fourth Proportional to 185,751.86, 256,338.54 and 105,195.06

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Solution

The fourth proportional to 185,751.86, 256,338.54 and 105,195.06 is: 145,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,751.86 : 256,338.54 = 105,195.06 : x
  2. Step 2: Convert to fraction form
    185,751.86/256,338.54 = 105,195.06/x
  3. Step 3: Cross multiply
    185,751.86x = 256,338.54 × 105,195.06
  4. Step 4: Simplify right side
    185,751.86x = 26,965,548,095.61
  5. Step 5: Solve for x
    x = 26,965,548,095.61/185,751.86
  6. Step 6: Final answer
    x = 145,169.74

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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.