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Finding the Fourth Proportional to 233,911.29, 322,799.40 and 129,138.50

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Solution

The fourth proportional to 233,911.29, 322,799.40 and 129,138.50 is: 178,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,911.29 : 322,799.40 = 129,138.50 : x
  2. Step 2: Convert to fraction form
    233,911.29/322,799.40 = 129,138.50/x
  3. Step 3: Cross multiply
    233,911.29x = 322,799.40 × 129,138.50
  4. Step 4: Simplify right side
    233,911.29x = 41,685,828,702.90
  5. Step 5: Solve for x
    x = 41,685,828,702.90/233,911.29
  6. Step 6: Final answer
    x = 178,212.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.