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Finding the Fourth Proportional to 238,804.29, 357,419.07 and 132,024.06

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Solution

The fourth proportional to 238,804.29, 357,419.07 and 132,024.06 is: 197,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,804.29 : 357,419.07 = 132,024.06 : x
  2. Step 2: Convert to fraction form
    238,804.29/357,419.07 = 132,024.06/x
  3. Step 3: Cross multiply
    238,804.29x = 357,419.07 × 132,024.06
  4. Step 4: Simplify right side
    238,804.29x = 47,187,916,742.82
  5. Step 5: Solve for x
    x = 47,187,916,742.82/238,804.29
  6. Step 6: Final answer
    x = 197,600.79

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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.