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Finding the Fourth Proportional to 289,706.50, 434,752.57 and 119,068.16

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Solution

The fourth proportional to 289,706.50, 434,752.57 and 119,068.16 is: 178,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,706.50 : 434,752.57 = 119,068.16 : x
  2. Step 2: Convert to fraction form
    289,706.50/434,752.57 = 119,068.16/x
  3. Step 3: Cross multiply
    289,706.50x = 434,752.57 × 119,068.16
  4. Step 4: Simplify right side
    289,706.50x = 51,765,188,565.17
  5. Step 5: Solve for x
    x = 51,765,188,565.17/289,706.50
  6. Step 6: Final answer
    x = 178,681.49

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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.