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Finding the Fourth Proportional to 223,257.60, 334,923.30 and 103,434.30

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Solution

The fourth proportional to 223,257.60, 334,923.30 and 103,434.30 is: 155,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,257.60 : 334,923.30 = 103,434.30 : x
  2. Step 2: Convert to fraction form
    223,257.60/334,923.30 = 103,434.30/x
  3. Step 3: Cross multiply
    223,257.60x = 334,923.30 × 103,434.30
  4. Step 4: Simplify right side
    223,257.60x = 34,642,557,089.19
  5. Step 5: Solve for x
    x = 34,642,557,089.19/223,257.60
  6. Step 6: Final answer
    x = 155,168.55

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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.