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Finding the Fourth Proportional to 301,474.34, 452,206.83 and 101,934.86

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Solution

The fourth proportional to 301,474.34, 452,206.83 and 101,934.86 is: 152,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,474.34 : 452,206.83 = 101,934.86 : x
  2. Step 2: Convert to fraction form
    301,474.34/452,206.83 = 101,934.86/x
  3. Step 3: Cross multiply
    301,474.34x = 452,206.83 × 101,934.86
  4. Step 4: Simplify right side
    301,474.34x = 46,095,639,907.09
  5. Step 5: Solve for x
    x = 46,095,639,907.09/301,474.34
  6. Step 6: Final answer
    x = 152,900.71

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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.