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Finding the Fourth Proportional to 301,196.52, 451,836.72 and 101,574

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Solution

The fourth proportional to 301,196.52, 451,836.72 and 101,574 is: 152,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,196.52 : 451,836.72 = 101,574 : x
  2. Step 2: Convert to fraction form
    301,196.52/451,836.72 = 101,574/x
  3. Step 3: Cross multiply
    301,196.52x = 451,836.72 × 101,574
  4. Step 4: Simplify right side
    301,196.52x = 45,894,862,997.28
  5. Step 5: Solve for x
    x = 45,894,862,997.28/301,196.52
  6. Step 6: Final answer
    x = 152,375.14

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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.