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Finding the Fourth Proportional to 243,058.20, 364,538.70 and 116,698.20

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Solution

The fourth proportional to 243,058.20, 364,538.70 and 116,698.20 is: 175,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,058.20 : 364,538.70 = 116,698.20 : x
  2. Step 2: Convert to fraction form
    243,058.20/364,538.70 = 116,698.20/x
  3. Step 3: Cross multiply
    243,058.20x = 364,538.70 × 116,698.20
  4. Step 4: Simplify right side
    243,058.20x = 42,541,010,120.34
  5. Step 5: Solve for x
    x = 42,541,010,120.34/243,058.20
  6. Step 6: Final answer
    x = 175,023.97

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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.