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Finding the Fourth Proportional to 185,615.52, 256,215.80 and 110,164

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Solution

The fourth proportional to 185,615.52, 256,215.80 and 110,164 is: 152,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,615.52 : 256,215.80 = 110,164 : x
  2. Step 2: Convert to fraction form
    185,615.52/256,215.80 = 110,164/x
  3. Step 3: Cross multiply
    185,615.52x = 256,215.80 × 110,164
  4. Step 4: Simplify right side
    185,615.52x = 28,225,757,391.20
  5. Step 5: Solve for x
    x = 28,225,757,391.20/185,615.52
  6. Step 6: Final answer
    x = 152,065.72

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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.