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Finding the Fourth Proportional to 302,120.40, 416,931 and 166,160.40

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Solution

The fourth proportional to 302,120.40, 416,931 and 166,160.40 is: 229,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,120.40 : 416,931 = 166,160.40 : x
  2. Step 2: Convert to fraction form
    302,120.40/416,931 = 166,160.40/x
  3. Step 3: Cross multiply
    302,120.40x = 416,931 × 166,160.40
  4. Step 4: Simplify right side
    302,120.40x = 69,277,421,732.40
  5. Step 5: Solve for x
    x = 69,277,421,732.40/302,120.40
  6. Step 6: Final answer
    x = 229,304.02

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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.