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Finding the Fourth Proportional to 230,916.48, 346,484.80 and 159,948.48

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Solution

The fourth proportional to 230,916.48, 346,484.80 and 159,948.48 is: 239,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,916.48 : 346,484.80 = 159,948.48 : x
  2. Step 2: Convert to fraction form
    230,916.48/346,484.80 = 159,948.48/x
  3. Step 3: Cross multiply
    230,916.48x = 346,484.80 × 159,948.48
  4. Step 4: Simplify right side
    230,916.48x = 55,419,717,103.10
  5. Step 5: Solve for x
    x = 55,419,717,103.10/230,916.48
  6. Step 6: Final answer
    x = 239,998.97

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1.5x scale

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.