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Finding the Fourth Proportional to 223,429.63, 334,955.64 and 96,974.25

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Solution

The fourth proportional to 223,429.63, 334,955.64 and 96,974.25 is: 145,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,429.63 : 334,955.64 = 96,974.25 : x
  2. Step 2: Convert to fraction form
    223,429.63/334,955.64 = 96,974.25/x
  3. Step 3: Cross multiply
    223,429.63x = 334,955.64 × 96,974.25
  4. Step 4: Simplify right side
    223,429.63x = 32,482,071,972.27
  5. Step 5: Solve for x
    x = 32,482,071,972.27/223,429.63
  6. Step 6: Final answer
    x = 145,379.43

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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.