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Finding the Fourth Proportional to 130,924.74, 180,677.41 and 74,337.38

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Solution

The fourth proportional to 130,924.74, 180,677.41 and 74,337.38 is: 102,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,924.74 : 180,677.41 = 74,337.38 : x
  2. Step 2: Convert to fraction form
    130,924.74/180,677.41 = 74,337.38/x
  3. Step 3: Cross multiply
    130,924.74x = 180,677.41 × 74,337.38
  4. Step 4: Simplify right side
    130,924.74x = 13,431,085,284.59
  5. Step 5: Solve for x
    x = 13,431,085,284.59/130,924.74
  6. Step 6: Final answer
    x = 102,586.30

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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.