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Finding the Fourth Proportional to 114,205.18, 171,319.18 and 39,315.41

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Solution

The fourth proportional to 114,205.18, 171,319.18 and 39,315.41 is: 58,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,205.18 : 171,319.18 = 39,315.41 : x
  2. Step 2: Convert to fraction form
    114,205.18/171,319.18 = 39,315.41/x
  3. Step 3: Cross multiply
    114,205.18x = 171,319.18 × 39,315.41
  4. Step 4: Simplify right side
    114,205.18x = 6,735,484,132.57
  5. Step 5: Solve for x
    x = 6,735,484,132.57/114,205.18
  6. Step 6: Final answer
    x = 58,977.05

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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.