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Finding the Fourth Proportional to 211,059.90, 315,898.65 and 164,058.30

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Solution

The fourth proportional to 211,059.90, 315,898.65 and 164,058.30 is: 245,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,059.90 : 315,898.65 = 164,058.30 : x
  2. Step 2: Convert to fraction form
    211,059.90/315,898.65 = 164,058.30/x
  3. Step 3: Cross multiply
    211,059.90x = 315,898.65 × 164,058.30
  4. Step 4: Simplify right side
    211,059.90x = 51,825,795,491.30
  5. Step 5: Solve for x
    x = 51,825,795,491.30/211,059.90
  6. Step 6: Final answer
    x = 245,550.18

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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.