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Finding the Fourth Proportional to 130,249, 195,371.36 and 41,501.30

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Solution

The fourth proportional to 130,249, 195,371.36 and 41,501.30 is: 62,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,249 : 195,371.36 = 41,501.30 : x
  2. Step 2: Convert to fraction form
    130,249/195,371.36 = 41,501.30/x
  3. Step 3: Cross multiply
    130,249x = 195,371.36 × 41,501.30
  4. Step 4: Simplify right side
    130,249x = 8,108,165,422.77
  5. Step 5: Solve for x
    x = 8,108,165,422.77/130,249
  6. Step 6: Final answer
    x = 62,251.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.