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Finding the Fourth Proportional to 219,316.80, 328,456.80 and 148,814.40

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Solution

The fourth proportional to 219,316.80, 328,456.80 and 148,814.40 is: 222,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,316.80 : 328,456.80 = 148,814.40 : x
  2. Step 2: Convert to fraction form
    219,316.80/328,456.80 = 148,814.40/x
  3. Step 3: Cross multiply
    219,316.80x = 328,456.80 × 148,814.40
  4. Step 4: Simplify right side
    219,316.80x = 48,879,101,617.92
  5. Step 5: Solve for x
    x = 48,879,101,617.92/219,316.80
  6. Step 6: Final answer
    x = 222,869.85

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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.