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Finding the Fourth Proportional to 145,098.69, 200,237.04 and 80,568.84

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Solution

The fourth proportional to 145,098.69, 200,237.04 and 80,568.84 is: 111,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,098.69 : 200,237.04 = 80,568.84 : x
  2. Step 2: Convert to fraction form
    145,098.69/200,237.04 = 80,568.84/x
  3. Step 3: Cross multiply
    145,098.69x = 200,237.04 × 80,568.84
  4. Step 4: Simplify right side
    145,098.69x = 16,132,866,037.83
  5. Step 5: Solve for x
    x = 16,132,866,037.83/145,098.69
  6. Step 6: Final answer
    x = 111,185.47

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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.