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Finding the Fourth Proportional to 145,166.35, 200,322.80 and 80,639.77

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Solution

The fourth proportional to 145,166.35, 200,322.80 and 80,639.77 is: 111,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,166.35 : 200,322.80 = 80,639.77 : x
  2. Step 2: Convert to fraction form
    145,166.35/200,322.80 = 80,639.77/x
  3. Step 3: Cross multiply
    145,166.35x = 200,322.80 × 80,639.77
  4. Step 4: Simplify right side
    145,166.35x = 16,153,984,114.56
  5. Step 5: Solve for x
    x = 16,153,984,114.56/145,166.35
  6. Step 6: Final answer
    x = 111,279.12

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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.