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Finding the Fourth Proportional to 201,465.30, 301,760.55 and 175,221.30

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Solution

The fourth proportional to 201,465.30, 301,760.55 and 175,221.30 is: 262,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465.30 : 301,760.55 = 175,221.30 : x
  2. Step 2: Convert to fraction form
    201,465.30/301,760.55 = 175,221.30/x
  3. Step 3: Cross multiply
    201,465.30x = 301,760.55 × 175,221.30
  4. Step 4: Simplify right side
    201,465.30x = 52,874,875,859.72
  5. Step 5: Solve for x
    x = 52,874,875,859.72/201,465.30
  6. Step 6: Final answer
    x = 262,451.53

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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.