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Finding the Fourth Proportional to 288,492.52, 432,738.78 and 111,083.08

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Solution

The fourth proportional to 288,492.52, 432,738.78 and 111,083.08 is: 166,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,492.52 : 432,738.78 = 111,083.08 : x
  2. Step 2: Convert to fraction form
    288,492.52/432,738.78 = 111,083.08/x
  3. Step 3: Cross multiply
    288,492.52x = 432,738.78 × 111,083.08
  4. Step 4: Simplify right side
    288,492.52x = 48,069,956,517.84
  5. Step 5: Solve for x
    x = 48,069,956,517.84/288,492.52
  6. Step 6: Final answer
    x = 166,624.62

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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.