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Finding the Fourth Proportional to 232,919.92, 349,293.93 and 83,120.14

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Solution

The fourth proportional to 232,919.92, 349,293.93 and 83,120.14 is: 124,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,919.92 : 349,293.93 = 83,120.14 : x
  2. Step 2: Convert to fraction form
    232,919.92/349,293.93 = 83,120.14/x
  3. Step 3: Cross multiply
    232,919.92x = 349,293.93 × 83,120.14
  4. Step 4: Simplify right side
    232,919.92x = 29,033,360,362.75
  5. Step 5: Solve for x
    x = 29,033,360,362.75/232,919.92
  6. Step 6: Final answer
    x = 124,649.54

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