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Finding the Fourth Proportional to 301,444.92, 451,851.12 and 101,696.40

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Solution

The fourth proportional to 301,444.92, 451,851.12 and 101,696.40 is: 152,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,444.92 : 451,851.12 = 101,696.40 : x
  2. Step 2: Convert to fraction form
    301,444.92/451,851.12 = 101,696.40/x
  3. Step 3: Cross multiply
    301,444.92x = 451,851.12 × 101,696.40
  4. Step 4: Simplify right side
    301,444.92x = 45,951,632,239.97
  5. Step 5: Solve for x
    x = 45,951,632,239.97/301,444.92
  6. Step 6: Final answer
    x = 152,437.91

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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.