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Finding the Fourth Proportional to 209,175.66, 313,264.62 and 114,264.18

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Solution

The fourth proportional to 209,175.66, 313,264.62 and 114,264.18 is: 171,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,175.66 : 313,264.62 = 114,264.18 : x
  2. Step 2: Convert to fraction form
    209,175.66/313,264.62 = 114,264.18/x
  3. Step 3: Cross multiply
    209,175.66x = 313,264.62 × 114,264.18
  4. Step 4: Simplify right side
    209,175.66x = 35,794,924,927.31
  5. Step 5: Solve for x
    x = 35,794,924,927.31/209,175.66
  6. Step 6: Final answer
    x = 171,123.76

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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.