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Finding the Fourth Proportional to 230,193.95, 317,716.67 and 154,698.71

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Solution

The fourth proportional to 230,193.95, 317,716.67 and 154,698.71 is: 213,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,193.95 : 317,716.67 = 154,698.71 : x
  2. Step 2: Convert to fraction form
    230,193.95/317,716.67 = 154,698.71/x
  3. Step 3: Cross multiply
    230,193.95x = 317,716.67 × 154,698.71
  4. Step 4: Simplify right side
    230,193.95x = 49,150,358,994.50
  5. Step 5: Solve for x
    x = 49,150,358,994.50/230,193.95
  6. Step 6: Final answer
    x = 213,517.16

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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.