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Finding the Fourth Proportional to 289,354.46, 434,155.68 and 149,211.50

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Solution

The fourth proportional to 289,354.46, 434,155.68 and 149,211.50 is: 223,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,354.46 : 434,155.68 = 149,211.50 : x
  2. Step 2: Convert to fraction form
    289,354.46/434,155.68 = 149,211.50/x
  3. Step 3: Cross multiply
    289,354.46x = 434,155.68 × 149,211.50
  4. Step 4: Simplify right side
    289,354.46x = 64,781,020,246.32
  5. Step 5: Solve for x
    x = 64,781,020,246.32/289,354.46
  6. Step 6: Final answer
    x = 223,881.19

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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.