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Finding the Fourth Proportional to 223,424.87, 334,948.51 and 96,969.50

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Solution

The fourth proportional to 223,424.87, 334,948.51 and 96,969.50 is: 145,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,424.87 : 334,948.51 = 96,969.50 : x
  2. Step 2: Convert to fraction form
    223,424.87/334,948.51 = 96,969.50/x
  3. Step 3: Cross multiply
    223,424.87x = 334,948.51 × 96,969.50
  4. Step 4: Simplify right side
    223,424.87x = 32,479,787,623.28
  5. Step 5: Solve for x
    x = 32,479,787,623.28/223,424.87
  6. Step 6: Final answer
    x = 145,372.30

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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.