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Finding the Fourth Proportional to 234,386.41, 351,707.62 and 99,429.63

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Solution

The fourth proportional to 234,386.41, 351,707.62 and 99,429.63 is: 149,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,386.41 : 351,707.62 = 99,429.63 : x
  2. Step 2: Convert to fraction form
    234,386.41/351,707.62 = 99,429.63/x
  3. Step 3: Cross multiply
    234,386.41x = 351,707.62 × 99,429.63
  4. Step 4: Simplify right side
    234,386.41x = 34,970,157,143.73
  5. Step 5: Solve for x
    x = 34,970,157,143.73/234,386.41
  6. Step 6: Final answer
    x = 149,198.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.