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Finding the Fourth Proportional to 301,651.29, 452,532.51 and 99,258.75

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Solution

The fourth proportional to 301,651.29, 452,532.51 and 99,258.75 is: 148,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,651.29 : 452,532.51 = 99,258.75 : x
  2. Step 2: Convert to fraction form
    301,651.29/452,532.51 = 99,258.75/x
  3. Step 3: Cross multiply
    301,651.29x = 452,532.51 × 99,258.75
  4. Step 4: Simplify right side
    301,651.29x = 44,917,811,276.96
  5. Step 5: Solve for x
    x = 44,917,811,276.96/301,651.29
  6. Step 6: Final answer
    x = 148,906.41

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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.