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Finding the Fourth Proportional to 234,029.92, 322,858.74 and 137,184.70

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Solution

The fourth proportional to 234,029.92, 322,858.74 and 137,184.70 is: 189,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,029.92 : 322,858.74 = 137,184.70 : x
  2. Step 2: Convert to fraction form
    234,029.92/322,858.74 = 137,184.70/x
  3. Step 3: Cross multiply
    234,029.92x = 322,858.74 × 137,184.70
  4. Step 4: Simplify right side
    234,029.92x = 44,291,279,389.28
  5. Step 5: Solve for x
    x = 44,291,279,389.28/234,029.92
  6. Step 6: Final answer
    x = 189,254.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.