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Finding the Fourth Proportional to 145,021.20, 200,131.20 and 81,355.20

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Solution

The fourth proportional to 145,021.20, 200,131.20 and 81,355.20 is: 112,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,021.20 : 200,131.20 = 81,355.20 : x
  2. Step 2: Convert to fraction form
    145,021.20/200,131.20 = 81,355.20/x
  3. Step 3: Cross multiply
    145,021.20x = 200,131.20 × 81,355.20
  4. Step 4: Simplify right side
    145,021.20x = 16,281,713,802.24
  5. Step 5: Solve for x
    x = 16,281,713,802.24/145,021.20
  6. Step 6: Final answer
    x = 112,271.27

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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.