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Finding the Fourth Proportional to 224,065.80, 335,969.10 and 83,838.60

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Solution

The fourth proportional to 224,065.80, 335,969.10 and 83,838.60 is: 125,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,065.80 : 335,969.10 = 83,838.60 : x
  2. Step 2: Convert to fraction form
    224,065.80/335,969.10 = 83,838.60/x
  3. Step 3: Cross multiply
    224,065.80x = 335,969.10 × 83,838.60
  4. Step 4: Simplify right side
    224,065.80x = 28,167,178,987.26
  5. Step 5: Solve for x
    x = 28,167,178,987.26/224,065.80
  6. Step 6: Final answer
    x = 125,709.41

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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.