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Finding the Fourth Proportional to 185,760.50, 256,347.22 and 100,878.16

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Solution

The fourth proportional to 185,760.50, 256,347.22 and 100,878.16 is: 139,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,760.50 : 256,347.22 = 100,878.16 : x
  2. Step 2: Convert to fraction form
    185,760.50/256,347.22 = 100,878.16/x
  3. Step 3: Cross multiply
    185,760.50x = 256,347.22 × 100,878.16
  4. Step 4: Simplify right side
    185,760.50x = 25,859,835,874.72
  5. Step 5: Solve for x
    x = 25,859,835,874.72/185,760.50
  6. Step 6: Final answer
    x = 139,210.63

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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.