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Finding the Fourth Proportional to 234,651.74, 323,795.42 and 144,011.52

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Solution

The fourth proportional to 234,651.74, 323,795.42 and 144,011.52 is: 198,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,651.74 : 323,795.42 = 144,011.52 : x
  2. Step 2: Convert to fraction form
    234,651.74/323,795.42 = 144,011.52/x
  3. Step 3: Cross multiply
    234,651.74x = 323,795.42 × 144,011.52
  4. Step 4: Simplify right side
    234,651.74x = 46,630,271,233.29
  5. Step 5: Solve for x
    x = 46,630,271,233.29/234,651.74
  6. Step 6: Final answer
    x = 198,721.19

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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.