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Finding the Fourth Proportional to 123,655.68, 170,458.82 and 96,751.48

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Solution

The fourth proportional to 123,655.68, 170,458.82 and 96,751.48 is: 133,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,655.68 : 170,458.82 = 96,751.48 : x
  2. Step 2: Convert to fraction form
    123,655.68/170,458.82 = 96,751.48/x
  3. Step 3: Cross multiply
    123,655.68x = 170,458.82 × 96,751.48
  4. Step 4: Simplify right side
    123,655.68x = 16,492,143,114.05
  5. Step 5: Solve for x
    x = 16,492,143,114.05/123,655.68
  6. Step 6: Final answer
    x = 133,371.50

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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.