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Finding the Fourth Proportional to 157,581.21, 236,024.31 and 130,253.22

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Solution

The fourth proportional to 157,581.21, 236,024.31 and 130,253.22 is: 195,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,581.21 : 236,024.31 = 130,253.22 : x
  2. Step 2: Convert to fraction form
    157,581.21/236,024.31 = 130,253.22/x
  3. Step 3: Cross multiply
    157,581.21x = 236,024.31 × 130,253.22
  4. Step 4: Simplify right side
    157,581.21x = 30,742,926,375.78
  5. Step 5: Solve for x
    x = 30,742,926,375.78/157,581.21
  6. Step 6: Final answer
    x = 195,092.59

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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.