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Finding the Fourth Proportional to 185,987.69, 256,669.66 and 114,353.88

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Solution

The fourth proportional to 185,987.69, 256,669.66 and 114,353.88 is: 157,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,987.69 : 256,669.66 = 114,353.88 : x
  2. Step 2: Convert to fraction form
    185,987.69/256,669.66 = 114,353.88/x
  3. Step 3: Cross multiply
    185,987.69x = 256,669.66 × 114,353.88
  4. Step 4: Simplify right side
    185,987.69x = 29,351,170,679.71
  5. Step 5: Solve for x
    x = 29,351,170,679.71/185,987.69
  6. Step 6: Final answer
    x = 157,812.43

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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.