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Finding the Fourth Proportional to 213,867.68, 295,211.16 and 123,259.83

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Solution

The fourth proportional to 213,867.68, 295,211.16 and 123,259.83 is: 170,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,867.68 : 295,211.16 = 123,259.83 : x
  2. Step 2: Convert to fraction form
    213,867.68/295,211.16 = 123,259.83/x
  3. Step 3: Cross multiply
    213,867.68x = 295,211.16 × 123,259.83
  4. Step 4: Simplify right side
    213,867.68x = 36,387,677,395.70
  5. Step 5: Solve for x
    x = 36,387,677,395.70/213,867.68
  6. Step 6: Final answer
    x = 170,141.08

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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.