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Finding the Fourth Proportional to 233,545.68, 322,316.82 and 142,961.49

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Solution

The fourth proportional to 233,545.68, 322,316.82 and 142,961.49 is: 197,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,545.68 : 322,316.82 = 142,961.49 : x
  2. Step 2: Convert to fraction form
    233,545.68/322,316.82 = 142,961.49/x
  3. Step 3: Cross multiply
    233,545.68x = 322,316.82 × 142,961.49
  4. Step 4: Simplify right side
    233,545.68x = 46,078,892,839.26
  5. Step 5: Solve for x
    x = 46,078,892,839.26/233,545.68
  6. Step 6: Final answer
    x = 197,301.41

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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.