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Finding the Fourth Proportional to 164,718.87, 227,142.32 and 140,924.31

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Solution

The fourth proportional to 164,718.87, 227,142.32 and 140,924.31 is: 194,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,718.87 : 227,142.32 = 140,924.31 : x
  2. Step 2: Convert to fraction form
    164,718.87/227,142.32 = 140,924.31/x
  3. Step 3: Cross multiply
    164,718.87x = 227,142.32 × 140,924.31
  4. Step 4: Simplify right side
    164,718.87x = 32,009,874,717.80
  5. Step 5: Solve for x
    x = 32,009,874,717.80/164,718.87
  6. Step 6: Final answer
    x = 194,330.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.