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Finding the Fourth Proportional to 213,315.68, 319,983.24 and 55,560.08

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Solution

The fourth proportional to 213,315.68, 319,983.24 and 55,560.08 is: 83,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,315.68 : 319,983.24 = 55,560.08 : x
  2. Step 2: Convert to fraction form
    213,315.68/319,983.24 = 55,560.08/x
  3. Step 3: Cross multiply
    213,315.68x = 319,983.24 × 55,560.08
  4. Step 4: Simplify right side
    213,315.68x = 17,778,294,413.06
  5. Step 5: Solve for x
    x = 17,778,294,413.06/213,315.68
  6. Step 6: Final answer
    x = 83,342.65

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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.