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Finding the Fourth Proportional to 284,099.40, 425,853.90 and 115,547.40

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Solution

The fourth proportional to 284,099.40, 425,853.90 and 115,547.40 is: 173,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,099.40 : 425,853.90 = 115,547.40 : x
  2. Step 2: Convert to fraction form
    284,099.40/425,853.90 = 115,547.40/x
  3. Step 3: Cross multiply
    284,099.40x = 425,853.90 × 115,547.40
  4. Step 4: Simplify right side
    284,099.40x = 49,206,310,924.86
  5. Step 5: Solve for x
    x = 49,206,310,924.86/284,099.40
  6. Step 6: Final answer
    x = 173,201.04

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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.