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Finding the Fourth Proportional to 223,690.84, 335,292.94 and 111,454

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Solution

The fourth proportional to 223,690.84, 335,292.94 and 111,454 is: 167,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,690.84 : 335,292.94 = 111,454 : x
  2. Step 2: Convert to fraction form
    223,690.84/335,292.94 = 111,454/x
  3. Step 3: Cross multiply
    223,690.84x = 335,292.94 × 111,454
  4. Step 4: Simplify right side
    223,690.84x = 37,369,739,334.76
  5. Step 5: Solve for x
    x = 37,369,739,334.76/223,690.84
  6. Step 6: Final answer
    x = 167,059.77

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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.