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Finding the Fourth Proportional to 303,045.64, 454,568.22 and 81,429.64

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Solution

The fourth proportional to 303,045.64, 454,568.22 and 81,429.64 is: 122,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,045.64 : 454,568.22 = 81,429.64 : x
  2. Step 2: Convert to fraction form
    303,045.64/454,568.22 = 81,429.64/x
  3. Step 3: Cross multiply
    303,045.64x = 454,568.22 × 81,429.64
  4. Step 4: Simplify right side
    303,045.64x = 37,015,326,510.04
  5. Step 5: Solve for x
    x = 37,015,326,510.04/303,045.64
  6. Step 6: Final answer
    x = 122,144.40

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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.