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Finding the Fourth Proportional to 130,414, 195,301.96 and 117,792.12

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Solution

The fourth proportional to 130,414, 195,301.96 and 117,792.12 is: 176,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,414 : 195,301.96 = 117,792.12 : x
  2. Step 2: Convert to fraction form
    130,414/195,301.96 = 117,792.12/x
  3. Step 3: Cross multiply
    130,414x = 195,301.96 × 117,792.12
  4. Step 4: Simplify right side
    130,414x = 23,005,031,908.56
  5. Step 5: Solve for x
    x = 23,005,031,908.56/130,414
  6. Step 6: Final answer
    x = 176,400.02

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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.