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Finding the Fourth Proportional to 123,516.36, 170,389.71 and 78,118.02

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Solution

The fourth proportional to 123,516.36, 170,389.71 and 78,118.02 is: 107,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,516.36 : 170,389.71 = 78,118.02 : x
  2. Step 2: Convert to fraction form
    123,516.36/170,389.71 = 78,118.02/x
  3. Step 3: Cross multiply
    123,516.36x = 170,389.71 × 78,118.02
  4. Step 4: Simplify right side
    123,516.36x = 13,310,506,773.57
  5. Step 5: Solve for x
    x = 13,310,506,773.57/123,516.36
  6. Step 6: Final answer
    x = 107,763.11

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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.