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Finding the Fourth Proportional to 303,184.96, 454,780.32 and 116,152

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Solution

The fourth proportional to 303,184.96, 454,780.32 and 116,152 is: 174,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,184.96 : 454,780.32 = 116,152 : x
  2. Step 2: Convert to fraction form
    303,184.96/454,780.32 = 116,152/x
  3. Step 3: Cross multiply
    303,184.96x = 454,780.32 × 116,152
  4. Step 4: Simplify right side
    303,184.96x = 52,823,643,728.64
  5. Step 5: Solve for x
    x = 52,823,643,728.64/303,184.96
  6. Step 6: Final answer
    x = 174,229.10

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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.