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Finding the Fourth Proportional to 222,029.10, 333,043.65 and 117,053.10

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Solution

The fourth proportional to 222,029.10, 333,043.65 and 117,053.10 is: 175,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,029.10 : 333,043.65 = 117,053.10 : x
  2. Step 2: Convert to fraction form
    222,029.10/333,043.65 = 117,053.10/x
  3. Step 3: Cross multiply
    222,029.10x = 333,043.65 × 117,053.10
  4. Step 4: Simplify right side
    222,029.10x = 38,983,791,667.82
  5. Step 5: Solve for x
    x = 38,983,791,667.82/222,029.10
  6. Step 6: Final answer
    x = 175,579.65

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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.