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Finding the Fourth Proportional to 185,923.74, 256,576.74 and 101,040.80

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Solution

The fourth proportional to 185,923.74, 256,576.74 and 101,040.80 is: 139,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,923.74 : 256,576.74 = 101,040.80 : x
  2. Step 2: Convert to fraction form
    185,923.74/256,576.74 = 101,040.80/x
  3. Step 3: Cross multiply
    185,923.74x = 256,576.74 × 101,040.80
  4. Step 4: Simplify right side
    185,923.74x = 25,924,719,070.99
  5. Step 5: Solve for x
    x = 25,924,719,070.99/185,923.74
  6. Step 6: Final answer
    x = 139,437.38

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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.