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Finding the Fourth Proportional to 230,443.83, 317,832.21 and 149,897.08

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Solution

The fourth proportional to 230,443.83, 317,832.21 and 149,897.08 is: 206,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,443.83 : 317,832.21 = 149,897.08 : x
  2. Step 2: Convert to fraction form
    230,443.83/317,832.21 = 149,897.08/x
  3. Step 3: Cross multiply
    230,443.83x = 317,832.21 × 149,897.08
  4. Step 4: Simplify right side
    230,443.83x = 47,642,119,414.37
  5. Step 5: Solve for x
    x = 47,642,119,414.37/230,443.83
  6. Step 6: Final answer
    x = 206,740.70

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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.