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Finding the Fourth Proportional to 145,509.90, 200,805.33 and 81,847.14

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Solution

The fourth proportional to 145,509.90, 200,805.33 and 81,847.14 is: 112,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,509.90 : 200,805.33 = 81,847.14 : x
  2. Step 2: Convert to fraction form
    145,509.90/200,805.33 = 81,847.14/x
  3. Step 3: Cross multiply
    145,509.90x = 200,805.33 × 81,847.14
  4. Step 4: Simplify right side
    145,509.90x = 16,435,341,957.26
  5. Step 5: Solve for x
    x = 16,435,341,957.26/145,509.90
  6. Step 6: Final answer
    x = 112,949.99

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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.