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Finding the Fourth Proportional to 243,059.20, 364,540.20 and 116,699.20

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Solution

The fourth proportional to 243,059.20, 364,540.20 and 116,699.20 is: 175,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,059.20 : 364,540.20 = 116,699.20 : x
  2. Step 2: Convert to fraction form
    243,059.20/364,540.20 = 116,699.20/x
  3. Step 3: Cross multiply
    243,059.20x = 364,540.20 × 116,699.20
  4. Step 4: Simplify right side
    243,059.20x = 42,541,549,707.84
  5. Step 5: Solve for x
    x = 42,541,549,707.84/243,059.20
  6. Step 6: Final answer
    x = 175,025.47

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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.