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Finding the Fourth Proportional to 213,106.68, 319,660.02 and 72,866.52

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Solution

The fourth proportional to 213,106.68, 319,660.02 and 72,866.52 is: 109,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,106.68 : 319,660.02 = 72,866.52 : x
  2. Step 2: Convert to fraction form
    213,106.68/319,660.02 = 72,866.52/x
  3. Step 3: Cross multiply
    213,106.68x = 319,660.02 × 72,866.52
  4. Step 4: Simplify right side
    213,106.68x = 23,292,513,240.53
  5. Step 5: Solve for x
    x = 23,292,513,240.53/213,106.68
  6. Step 6: Final answer
    x = 109,299.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.