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Finding the Fourth Proportional to 123,530.88, 170,382.60 and 78,216.24

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Solution

The fourth proportional to 123,530.88, 170,382.60 and 78,216.24 is: 107,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,530.88 : 170,382.60 = 78,216.24 : x
  2. Step 2: Convert to fraction form
    123,530.88/170,382.60 = 78,216.24/x
  3. Step 3: Cross multiply
    123,530.88x = 170,382.60 × 78,216.24
  4. Step 4: Simplify right side
    123,530.88x = 13,326,686,333.42
  5. Step 5: Solve for x
    x = 13,326,686,333.42/123,530.88
  6. Step 6: Final answer
    x = 107,881.42

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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.