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Finding the Fourth Proportional to 211,059.40, 315,897.90 and 164,057.80

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Solution

The fourth proportional to 211,059.40, 315,897.90 and 164,057.80 is: 245,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,059.40 : 315,897.90 = 164,057.80 : x
  2. Step 2: Convert to fraction form
    211,059.40/315,897.90 = 164,057.80/x
  3. Step 3: Cross multiply
    211,059.40x = 315,897.90 × 164,057.80
  4. Step 4: Simplify right side
    211,059.40x = 51,825,514,498.62
  5. Step 5: Solve for x
    x = 51,825,514,498.62/211,059.40
  6. Step 6: Final answer
    x = 245,549.43

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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.