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Finding the Fourth Proportional to 111,866, 167,822.04 and 46,202

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Solution

The fourth proportional to 111,866, 167,822.04 and 46,202 is: 69,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,866 : 167,822.04 = 46,202 : x
  2. Step 2: Convert to fraction form
    111,866/167,822.04 = 46,202/x
  3. Step 3: Cross multiply
    111,866x = 167,822.04 × 46,202
  4. Step 4: Simplify right side
    111,866x = 7,753,713,892.08
  5. Step 5: Solve for x
    x = 7,753,713,892.08/111,866
  6. Step 6: Final answer
    x = 69,312.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.