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Finding the Fourth Proportional to 302,146.34, 416,972.14 and 166,186.02

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Solution

The fourth proportional to 302,146.34, 416,972.14 and 166,186.02 is: 229,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,146.34 : 416,972.14 = 166,186.02 : x
  2. Step 2: Convert to fraction form
    302,146.34/416,972.14 = 166,186.02/x
  3. Step 3: Cross multiply
    302,146.34x = 416,972.14 × 166,186.02
  4. Step 4: Simplify right side
    302,146.34x = 69,294,940,397.48
  5. Step 5: Solve for x
    x = 69,294,940,397.48/302,146.34
  6. Step 6: Final answer
    x = 229,342.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.