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Finding the Fourth Proportional to 284,098.40, 425,852.40 and 115,546.40

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Solution

The fourth proportional to 284,098.40, 425,852.40 and 115,546.40 is: 173,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,098.40 : 425,852.40 = 115,546.40 : x
  2. Step 2: Convert to fraction form
    284,098.40/425,852.40 = 115,546.40/x
  3. Step 3: Cross multiply
    284,098.40x = 425,852.40 × 115,546.40
  4. Step 4: Simplify right side
    284,098.40x = 49,205,711,751.36
  5. Step 5: Solve for x
    x = 49,205,711,751.36/284,098.40
  6. Step 6: Final answer
    x = 173,199.54

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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.