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Finding the Fourth Proportional to 219,798, 303,321.42 and 119,196

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Solution

The fourth proportional to 219,798, 303,321.42 and 119,196 is: 164,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,798 : 303,321.42 = 119,196 : x
  2. Step 2: Convert to fraction form
    219,798/303,321.42 = 119,196/x
  3. Step 3: Cross multiply
    219,798x = 303,321.42 × 119,196
  4. Step 4: Simplify right side
    219,798x = 36,154,699,978.32
  5. Step 5: Solve for x
    x = 36,154,699,978.32/219,798
  6. Step 6: Final answer
    x = 164,490.58

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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.