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Finding the Fourth Proportional to 301,214.52, 451,582 and 149,304.68

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Solution

The fourth proportional to 301,214.52, 451,582 and 149,304.68 is: 223,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,214.52 : 451,582 = 149,304.68 : x
  2. Step 2: Convert to fraction form
    301,214.52/451,582 = 149,304.68/x
  3. Step 3: Cross multiply
    301,214.52x = 451,582 × 149,304.68
  4. Step 4: Simplify right side
    301,214.52x = 67,423,306,003.76
  5. Step 5: Solve for x
    x = 67,423,306,003.76/301,214.52
  6. Step 6: Final answer
    x = 223,838.17

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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.