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Finding the Fourth Proportional to 119,158.53, 178,737.64 and 30,412.04

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Solution

The fourth proportional to 119,158.53, 178,737.64 and 30,412.04 is: 45,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,158.53 : 178,737.64 = 30,412.04 : x
  2. Step 2: Convert to fraction form
    119,158.53/178,737.64 = 30,412.04/x
  3. Step 3: Cross multiply
    119,158.53x = 178,737.64 × 30,412.04
  4. Step 4: Simplify right side
    119,158.53x = 5,435,776,257.19
  5. Step 5: Solve for x
    x = 5,435,776,257.19/119,158.53
  6. Step 6: Final answer
    x = 45,618.02

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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.