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Finding the Fourth Proportional to 230,297.29, 317,810.90 and 133,519.95

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Solution

The fourth proportional to 230,297.29, 317,810.90 and 133,519.95 is: 184,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,297.29 : 317,810.90 = 133,519.95 : x
  2. Step 2: Convert to fraction form
    230,297.29/317,810.90 = 133,519.95/x
  3. Step 3: Cross multiply
    230,297.29x = 317,810.90 × 133,519.95
  4. Step 4: Simplify right side
    230,297.29x = 42,434,095,811.25
  5. Step 5: Solve for x
    x = 42,434,095,811.25/230,297.29
  6. Step 6: Final answer
    x = 184,257.91

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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.