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Finding the Fourth Proportional to 119,314.60, 178,967.78 and 30,568.98

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Solution

The fourth proportional to 119,314.60, 178,967.78 and 30,568.98 is: 45,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,314.60 : 178,967.78 = 30,568.98 : x
  2. Step 2: Convert to fraction form
    119,314.60/178,967.78 = 30,568.98/x
  3. Step 3: Cross multiply
    119,314.60x = 178,967.78 × 30,568.98
  4. Step 4: Simplify right side
    119,314.60x = 5,470,862,487.46
  5. Step 5: Solve for x
    x = 5,470,862,487.46/119,314.60
  6. Step 6: Final answer
    x = 45,852.41

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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.