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Finding the Fourth Proportional to 114,416.40, 171,624.60 and 30,176.40

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Solution

The fourth proportional to 114,416.40, 171,624.60 and 30,176.40 is: 45,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,416.40 : 171,624.60 = 30,176.40 : x
  2. Step 2: Convert to fraction form
    114,416.40/171,624.60 = 30,176.40/x
  3. Step 3: Cross multiply
    114,416.40x = 171,624.60 × 30,176.40
  4. Step 4: Simplify right side
    114,416.40x = 5,179,012,579.44
  5. Step 5: Solve for x
    x = 5,179,012,579.44/114,416.40
  6. Step 6: Final answer
    x = 45,264.60

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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.