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Finding the Fourth Proportional to 157,419.90, 236,129.85 and 150,858.90

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Solution

The fourth proportional to 157,419.90, 236,129.85 and 150,858.90 is: 226,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,419.90 : 236,129.85 = 150,858.90 : x
  2. Step 2: Convert to fraction form
    157,419.90/236,129.85 = 150,858.90/x
  3. Step 3: Cross multiply
    157,419.90x = 236,129.85 × 150,858.90
  4. Step 4: Simplify right side
    157,419.90x = 35,622,289,428.17
  5. Step 5: Solve for x
    x = 35,622,289,428.17/157,419.90
  6. Step 6: Final answer
    x = 226,288.35

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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.