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Finding the Fourth Proportional to 123,268.25, 184,916.96 and 40,162.25

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Solution

The fourth proportional to 123,268.25, 184,916.96 and 40,162.25 is: 60,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,268.25 : 184,916.96 = 40,162.25 : x
  2. Step 2: Convert to fraction form
    123,268.25/184,916.96 = 40,162.25/x
  3. Step 3: Cross multiply
    123,268.25x = 184,916.96 × 40,162.25
  4. Step 4: Simplify right side
    123,268.25x = 7,426,681,176.76
  5. Step 5: Solve for x
    x = 7,426,681,176.76/123,268.25
  6. Step 6: Final answer
    x = 60,248.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.