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Finding the Fourth Proportional to 219,951.38, 303,533.10 and 119,349.38

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Solution

The fourth proportional to 219,951.38, 303,533.10 and 119,349.38 is: 164,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,951.38 : 303,533.10 = 119,349.38 : x
  2. Step 2: Convert to fraction form
    219,951.38/303,533.10 = 119,349.38/x
  3. Step 3: Cross multiply
    219,951.38x = 303,533.10 × 119,349.38
  4. Step 4: Simplify right side
    219,951.38x = 36,226,485,776.81
  5. Step 5: Solve for x
    x = 36,226,485,776.81/219,951.38
  6. Step 6: Final answer
    x = 164,702.25

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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.