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Finding the Fourth Proportional to 123,602.60, 185,391.06 and 83,876.60

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Solution

The fourth proportional to 123,602.60, 185,391.06 and 83,876.60 is: 125,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,602.60 : 185,391.06 = 83,876.60 : x
  2. Step 2: Convert to fraction form
    123,602.60/185,391.06 = 83,876.60/x
  3. Step 3: Cross multiply
    123,602.60x = 185,391.06 × 83,876.60
  4. Step 4: Simplify right side
    123,602.60x = 15,549,971,783.20
  5. Step 5: Solve for x
    x = 15,549,971,783.20/123,602.60
  6. Step 6: Final answer
    x = 125,806.19

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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.