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Finding the Fourth Proportional to 230,063.45, 317,405.36 and 133,214.45

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Solution

The fourth proportional to 230,063.45, 317,405.36 and 133,214.45 is: 183,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,063.45 : 317,405.36 = 133,214.45 : x
  2. Step 2: Convert to fraction form
    230,063.45/317,405.36 = 133,214.45/x
  3. Step 3: Cross multiply
    230,063.45x = 317,405.36 × 133,214.45
  4. Step 4: Simplify right side
    230,063.45x = 42,282,978,206.35
  5. Step 5: Solve for x
    x = 42,282,978,206.35/230,063.45
  6. Step 6: Final answer
    x = 183,788.34

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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.