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Finding the Fourth Proportional to 145,132.96, 200,265.34 and 80,593.40

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Solution

The fourth proportional to 145,132.96, 200,265.34 and 80,593.40 is: 111,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,132.96 : 200,265.34 = 80,593.40 : x
  2. Step 2: Convert to fraction form
    145,132.96/200,265.34 = 80,593.40/x
  3. Step 3: Cross multiply
    145,132.96x = 200,265.34 × 80,593.40
  4. Step 4: Simplify right side
    145,132.96x = 16,140,064,652.76
  5. Step 5: Solve for x
    x = 16,140,064,652.76/145,132.96
  6. Step 6: Final answer
    x = 111,208.82

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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.