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Finding the Fourth Proportional to 223,493.18, 335,042.93 and 105,307.70

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Solution

The fourth proportional to 223,493.18, 335,042.93 and 105,307.70 is: 157,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,493.18 : 335,042.93 = 105,307.70 : x
  2. Step 2: Convert to fraction form
    223,493.18/335,042.93 = 105,307.70/x
  3. Step 3: Cross multiply
    223,493.18x = 335,042.93 × 105,307.70
  4. Step 4: Simplify right side
    223,493.18x = 35,282,598,947.62
  5. Step 5: Solve for x
    x = 35,282,598,947.62/223,493.18
  6. Step 6: Final answer
    x = 157,868.80

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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.