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Finding the Fourth Proportional to 301,293.84, 452,013.84 and 90,919.20

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Solution

The fourth proportional to 301,293.84, 452,013.84 and 90,919.20 is: 136,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,293.84 : 452,013.84 = 90,919.20 : x
  2. Step 2: Convert to fraction form
    301,293.84/452,013.84 = 90,919.20/x
  3. Step 3: Cross multiply
    301,293.84x = 452,013.84 × 90,919.20
  4. Step 4: Simplify right side
    301,293.84x = 41,096,736,721.73
  5. Step 5: Solve for x
    x = 41,096,736,721.73/301,293.84
  6. Step 6: Final answer
    x = 136,400.85

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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.