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Finding the Fourth Proportional to 243,219.30, 364,830.17 and 109,943.52

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Solution

The fourth proportional to 243,219.30, 364,830.17 and 109,943.52 is: 164,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,219.30 : 364,830.17 = 109,943.52 : x
  2. Step 2: Convert to fraction form
    243,219.30/364,830.17 = 109,943.52/x
  3. Step 3: Cross multiply
    243,219.30x = 364,830.17 × 109,943.52
  4. Step 4: Simplify right side
    243,219.30x = 40,110,713,092.00
  5. Step 5: Solve for x
    x = 40,110,713,092.00/243,219.30
  6. Step 6: Final answer
    x = 164,915.83

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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.