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Finding the Fourth Proportional to 185,752.89, 256,339.97 and 105,196.10

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Solution

The fourth proportional to 185,752.89, 256,339.97 and 105,196.10 is: 145,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,752.89 : 256,339.97 = 105,196.10 : x
  2. Step 2: Convert to fraction form
    185,752.89/256,339.97 = 105,196.10/x
  3. Step 3: Cross multiply
    185,752.89x = 256,339.97 × 105,196.10
  4. Step 4: Simplify right side
    185,752.89x = 26,965,963,310.44
  5. Step 5: Solve for x
    x = 26,965,963,310.44/185,752.89
  6. Step 6: Final answer
    x = 145,171.16

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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.