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Finding the Fourth Proportional to 301,950.45, 452,990.07 and 102,263.85

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Solution

The fourth proportional to 301,950.45, 452,990.07 and 102,263.85 is: 153,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,950.45 : 452,990.07 = 102,263.85 : x
  2. Step 2: Convert to fraction form
    301,950.45/452,990.07 = 102,263.85/x
  3. Step 3: Cross multiply
    301,950.45x = 452,990.07 × 102,263.85
  4. Step 4: Simplify right side
    301,950.45x = 46,324,508,569.97
  5. Step 5: Solve for x
    x = 46,324,508,569.97/301,950.45
  6. Step 6: Final answer
    x = 153,417.58

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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.