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Finding the Fourth Proportional to 185,873.52, 256,506 and 105,315.92

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Solution

The fourth proportional to 185,873.52, 256,506 and 105,315.92 is: 145,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,873.52 : 256,506 = 105,315.92 : x
  2. Step 2: Convert to fraction form
    185,873.52/256,506 = 105,315.92/x
  3. Step 3: Cross multiply
    185,873.52x = 256,506 × 105,315.92
  4. Step 4: Simplify right side
    185,873.52x = 27,014,165,375.52
  5. Step 5: Solve for x
    x = 27,014,165,375.52/185,873.52
  6. Step 6: Final answer
    x = 145,336.28

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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.