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Finding the Fourth Proportional to 213,229.29, 319,998.26 and 83,417.23

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Solution

The fourth proportional to 213,229.29, 319,998.26 and 83,417.23 is: 125,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,229.29 : 319,998.26 = 83,417.23 : x
  2. Step 2: Convert to fraction form
    213,229.29/319,998.26 = 83,417.23/x
  3. Step 3: Cross multiply
    213,229.29x = 319,998.26 × 83,417.23
  4. Step 4: Simplify right side
    213,229.29x = 26,693,368,454.02
  5. Step 5: Solve for x
    x = 26,693,368,454.02/213,229.29
  6. Step 6: Final answer
    x = 125,186.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.