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Finding the Fourth Proportional to 230,663.30, 318,308.13 and 135,233.55

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Solution

The fourth proportional to 230,663.30, 318,308.13 and 135,233.55 is: 186,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,663.30 : 318,308.13 = 135,233.55 : x
  2. Step 2: Convert to fraction form
    230,663.30/318,308.13 = 135,233.55/x
  3. Step 3: Cross multiply
    230,663.30x = 318,308.13 × 135,233.55
  4. Step 4: Simplify right side
    230,663.30x = 43,045,938,413.76
  5. Step 5: Solve for x
    x = 43,045,938,413.76/230,663.30
  6. Step 6: Final answer
    x = 186,618.06

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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.