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Finding the Fourth Proportional to 219,784.50, 303,302.61 and 119,182.50

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Solution

The fourth proportional to 219,784.50, 303,302.61 and 119,182.50 is: 164,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,784.50 : 303,302.61 = 119,182.50 : x
  2. Step 2: Convert to fraction form
    219,784.50/303,302.61 = 119,182.50/x
  3. Step 3: Cross multiply
    219,784.50x = 303,302.61 × 119,182.50
  4. Step 4: Simplify right side
    219,784.50x = 36,148,363,316.33
  5. Step 5: Solve for x
    x = 36,148,363,316.33/219,784.50
  6. Step 6: Final answer
    x = 164,471.85

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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.