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Finding the Fourth Proportional to 230,034.88, 317,374.86 and 129,413.44

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Solution

The fourth proportional to 230,034.88, 317,374.86 and 129,413.44 is: 178,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,034.88 : 317,374.86 = 129,413.44 : x
  2. Step 2: Convert to fraction form
    230,034.88/317,374.86 = 129,413.44/x
  3. Step 3: Cross multiply
    230,034.88x = 317,374.86 × 129,413.44
  4. Step 4: Simplify right side
    230,034.88x = 41,072,572,402.12
  5. Step 5: Solve for x
    x = 41,072,572,402.12/230,034.88
  6. Step 6: Final answer
    x = 178,549.32

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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.