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Finding the Fourth Proportional to 123,353.93, 170,232.55 and 75,598.05

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Solution

The fourth proportional to 123,353.93, 170,232.55 and 75,598.05 is: 104,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,353.93 : 170,232.55 = 75,598.05 : x
  2. Step 2: Convert to fraction form
    123,353.93/170,232.55 = 75,598.05/x
  3. Step 3: Cross multiply
    123,353.93x = 170,232.55 × 75,598.05
  4. Step 4: Simplify right side
    123,353.93x = 12,869,248,826.53
  5. Step 5: Solve for x
    x = 12,869,248,826.53/123,353.93
  6. Step 6: Final answer
    x = 104,327.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.