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Finding the Fourth Proportional to 232,099.51, 320,298.14 and 146,115.38

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Solution

The fourth proportional to 232,099.51, 320,298.14 and 146,115.38 is: 201,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,099.51 : 320,298.14 = 146,115.38 : x
  2. Step 2: Convert to fraction form
    232,099.51/320,298.14 = 146,115.38/x
  3. Step 3: Cross multiply
    232,099.51x = 320,298.14 × 146,115.38
  4. Step 4: Simplify right side
    232,099.51x = 46,800,484,439.39
  5. Step 5: Solve for x
    x = 46,800,484,439.39/232,099.51
  6. Step 6: Final answer
    x = 201,639.74

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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.