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Finding the Fourth Proportional to 233,706.69, 322,581.30 and 138,246.57

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Solution

The fourth proportional to 233,706.69, 322,581.30 and 138,246.57 is: 190,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,706.69 : 322,581.30 = 138,246.57 : x
  2. Step 2: Convert to fraction form
    233,706.69/322,581.30 = 138,246.57/x
  3. Step 3: Cross multiply
    233,706.69x = 322,581.30 × 138,246.57
  4. Step 4: Simplify right side
    233,706.69x = 44,595,758,271.14
  5. Step 5: Solve for x
    x = 44,595,758,271.14/233,706.69
  6. Step 6: Final answer
    x = 190,819.35

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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.