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Finding the Fourth Proportional to 222,780.48, 334,258.20 and 98,034

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Solution

The fourth proportional to 222,780.48, 334,258.20 and 98,034 is: 147,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,780.48 : 334,258.20 = 98,034 : x
  2. Step 2: Convert to fraction form
    222,780.48/334,258.20 = 98,034/x
  3. Step 3: Cross multiply
    222,780.48x = 334,258.20 × 98,034
  4. Step 4: Simplify right side
    222,780.48x = 32,768,668,378.80
  5. Step 5: Solve for x
    x = 32,768,668,378.80/222,780.48
  6. Step 6: Final answer
    x = 147,089.50

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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.