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Finding the Fourth Proportional to 289,351.46, 434,151.18 and 149,208.50

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Solution

The fourth proportional to 289,351.46, 434,151.18 and 149,208.50 is: 223,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,351.46 : 434,151.18 = 149,208.50 : x
  2. Step 2: Convert to fraction form
    289,351.46/434,151.18 = 149,208.50/x
  3. Step 3: Cross multiply
    289,351.46x = 434,151.18 × 149,208.50
  4. Step 4: Simplify right side
    289,351.46x = 64,779,044,170.27
  5. Step 5: Solve for x
    x = 64,779,044,170.27/289,351.46
  6. Step 6: Final answer
    x = 223,876.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.