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Finding the Fourth Proportional to 123,541, 170,504.88 and 78,223.20

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Solution

The fourth proportional to 123,541, 170,504.88 and 78,223.20 is: 107,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,541 : 170,504.88 = 78,223.20 : x
  2. Step 2: Convert to fraction form
    123,541/170,504.88 = 78,223.20/x
  3. Step 3: Cross multiply
    123,541x = 170,504.88 × 78,223.20
  4. Step 4: Simplify right side
    123,541x = 13,337,437,329.22
  5. Step 5: Solve for x
    x = 13,337,437,329.22/123,541
  6. Step 6: Final answer
    x = 107,959.60

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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.