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Finding the Fourth Proportional to 230,162.50, 345,022.32 and 117,895.59

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Solution

The fourth proportional to 230,162.50, 345,022.32 and 117,895.59 is: 176,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,162.50 : 345,022.32 = 117,895.59 : x
  2. Step 2: Convert to fraction form
    230,162.50/345,022.32 = 117,895.59/x
  3. Step 3: Cross multiply
    230,162.50x = 345,022.32 × 117,895.59
  4. Step 4: Simplify right side
    230,162.50x = 40,676,609,024.64
  5. Step 5: Solve for x
    x = 40,676,609,024.64/230,162.50
  6. Step 6: Final answer
    x = 176,729.96

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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.