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Finding the Fourth Proportional to 219,699, 303,185.16 and 119,097

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Solution

The fourth proportional to 219,699, 303,185.16 and 119,097 is: 164,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,699 : 303,185.16 = 119,097 : x
  2. Step 2: Convert to fraction form
    219,699/303,185.16 = 119,097/x
  3. Step 3: Cross multiply
    219,699x = 303,185.16 × 119,097
  4. Step 4: Simplify right side
    219,699x = 36,108,443,000.52
  5. Step 5: Solve for x
    x = 36,108,443,000.52/219,699
  6. Step 6: Final answer
    x = 164,354.15

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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.