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Finding the Fourth Proportional to 223,198.84, 335,411.16 and 118,092.16

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Solution

The fourth proportional to 223,198.84, 335,411.16 and 118,092.16 is: 177,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,198.84 : 335,411.16 = 118,092.16 : x
  2. Step 2: Convert to fraction form
    223,198.84/335,411.16 = 118,092.16/x
  3. Step 3: Cross multiply
    223,198.84x = 335,411.16 × 118,092.16
  4. Step 4: Simplify right side
    223,198.84x = 39,609,428,372.51
  5. Step 5: Solve for x
    x = 39,609,428,372.51/223,198.84
  6. Step 6: Final answer
    x = 177,462.52

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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.