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Finding the Fourth Proportional to 212,413.86, 293,132.52 and 116,918.10

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Solution

The fourth proportional to 212,413.86, 293,132.52 and 116,918.10 is: 161,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,413.86 : 293,132.52 = 116,918.10 : x
  2. Step 2: Convert to fraction form
    212,413.86/293,132.52 = 116,918.10/x
  3. Step 3: Cross multiply
    212,413.86x = 293,132.52 × 116,918.10
  4. Step 4: Simplify right side
    212,413.86x = 34,272,497,286.61
  5. Step 5: Solve for x
    x = 34,272,497,286.61/212,413.86
  6. Step 6: Final answer
    x = 161,347.74

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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.