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Finding the Fourth Proportional to 222,686.24, 334,014.24 and 104,384

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Solution

The fourth proportional to 222,686.24, 334,014.24 and 104,384 is: 156,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,686.24 : 334,014.24 = 104,384 : x
  2. Step 2: Convert to fraction form
    222,686.24/334,014.24 = 104,384/x
  3. Step 3: Cross multiply
    222,686.24x = 334,014.24 × 104,384
  4. Step 4: Simplify right side
    222,686.24x = 34,865,742,428.16
  5. Step 5: Solve for x
    x = 34,865,742,428.16/222,686.24
  6. Step 6: Final answer
    x = 156,568.91

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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.