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Finding the Fourth Proportional to 211,114.99, 316,705.28 and 70,906.42

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Solution

The fourth proportional to 211,114.99, 316,705.28 and 70,906.42 is: 106,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,114.99 : 316,705.28 = 70,906.42 : x
  2. Step 2: Convert to fraction form
    211,114.99/316,705.28 = 70,906.42/x
  3. Step 3: Cross multiply
    211,114.99x = 316,705.28 × 70,906.42
  4. Step 4: Simplify right side
    211,114.99x = 22,456,437,599.90
  5. Step 5: Solve for x
    x = 22,456,437,599.90/211,114.99
  6. Step 6: Final answer
    x = 106,370.64

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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.