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Finding the Fourth Proportional to 302,902, 454,265.44 and 103,217.96

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Solution

The fourth proportional to 302,902, 454,265.44 and 103,217.96 is: 154,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,902 : 454,265.44 = 103,217.96 : x
  2. Step 2: Convert to fraction form
    302,902/454,265.44 = 103,217.96/x
  3. Step 3: Cross multiply
    302,902x = 454,265.44 × 103,217.96
  4. Step 4: Simplify right side
    302,902x = 46,888,352,015.30
  5. Step 5: Solve for x
    x = 46,888,352,015.30/302,902
  6. Step 6: Final answer
    x = 154,797.10

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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.