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Finding the Fourth Proportional to 161,356.80, 242,002.80 and 77,116.80

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Solution

The fourth proportional to 161,356.80, 242,002.80 and 77,116.80 is: 115,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,356.80 : 242,002.80 = 77,116.80 : x
  2. Step 2: Convert to fraction form
    161,356.80/242,002.80 = 77,116.80/x
  3. Step 3: Cross multiply
    161,356.80x = 242,002.80 × 77,116.80
  4. Step 4: Simplify right side
    161,356.80x = 18,662,481,527.04
  5. Step 5: Solve for x
    x = 18,662,481,527.04/161,356.80
  6. Step 6: Final answer
    x = 115,659.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.