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Finding the Fourth Proportional to 235,938.80, 353,908.20 and 147,465.20

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Solution

The fourth proportional to 235,938.80, 353,908.20 and 147,465.20 is: 221,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,938.80 : 353,908.20 = 147,465.20 : x
  2. Step 2: Convert to fraction form
    235,938.80/353,908.20 = 147,465.20/x
  3. Step 3: Cross multiply
    235,938.80x = 353,908.20 × 147,465.20
  4. Step 4: Simplify right side
    235,938.80x = 52,189,143,494.64
  5. Step 5: Solve for x
    x = 52,189,143,494.64/235,938.80
  6. Step 6: Final answer
    x = 221,197.80

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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.