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Finding the Fourth Proportional to 217,043.80, 325,911.30 and 147,232.60

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Solution

The fourth proportional to 217,043.80, 325,911.30 and 147,232.60 is: 221,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,043.80 : 325,911.30 = 147,232.60 : x
  2. Step 2: Convert to fraction form
    217,043.80/325,911.30 = 147,232.60/x
  3. Step 3: Cross multiply
    217,043.80x = 325,911.30 × 147,232.60
  4. Step 4: Simplify right side
    217,043.80x = 47,984,768,068.38
  5. Step 5: Solve for x
    x = 47,984,768,068.38/217,043.80
  6. Step 6: Final answer
    x = 221,083.34

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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.