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Finding the Fourth Proportional to 217,038.80, 325,903.80 and 147,227.60

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Solution

The fourth proportional to 217,038.80, 325,903.80 and 147,227.60 is: 221,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,038.80 : 325,903.80 = 147,227.60 : x
  2. Step 2: Convert to fraction form
    217,038.80/325,903.80 = 147,227.60/x
  3. Step 3: Cross multiply
    217,038.80x = 325,903.80 × 147,227.60
  4. Step 4: Simplify right side
    217,038.80x = 47,982,034,304.88
  5. Step 5: Solve for x
    x = 47,982,034,304.88/217,038.80
  6. Step 6: Final answer
    x = 221,075.84

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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.