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Finding the Fourth Proportional to 202,814.20, 304,221.30 and 171,710.20

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Solution

The fourth proportional to 202,814.20, 304,221.30 and 171,710.20 is: 257,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,814.20 : 304,221.30 = 171,710.20 : x
  2. Step 2: Convert to fraction form
    202,814.20/304,221.30 = 171,710.20/x
  3. Step 3: Cross multiply
    202,814.20x = 304,221.30 × 171,710.20
  4. Step 4: Simplify right side
    202,814.20x = 52,237,900,267.26
  5. Step 5: Solve for x
    x = 52,237,900,267.26/202,814.20
  6. Step 6: Final answer
    x = 257,565.30

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1.5x scale

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.