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Finding the Fourth Proportional to 230,844.30, 346,266.45 and 141,809.10

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Solution

The fourth proportional to 230,844.30, 346,266.45 and 141,809.10 is: 212,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,844.30 : 346,266.45 = 141,809.10 : x
  2. Step 2: Convert to fraction form
    230,844.30/346,266.45 = 141,809.10/x
  3. Step 3: Cross multiply
    230,844.30x = 346,266.45 × 141,809.10
  4. Step 4: Simplify right side
    230,844.30x = 49,103,733,634.70
  5. Step 5: Solve for x
    x = 49,103,733,634.70/230,844.30
  6. Step 6: Final answer
    x = 212,713.65

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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.