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Finding the Fourth Proportional to 243,061.20, 364,543.20 and 116,701.20

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Solution

The fourth proportional to 243,061.20, 364,543.20 and 116,701.20 is: 175,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,061.20 : 364,543.20 = 116,701.20 : x
  2. Step 2: Convert to fraction form
    243,061.20/364,543.20 = 116,701.20/x
  3. Step 3: Cross multiply
    243,061.20x = 364,543.20 × 116,701.20
  4. Step 4: Simplify right side
    243,061.20x = 42,542,628,891.84
  5. Step 5: Solve for x
    x = 42,542,628,891.84/243,061.20
  6. Step 6: Final answer
    x = 175,028.47

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Why These Related Problems?

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