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Finding the Fourth Proportional to 302,002.14, 416,763.22 and 166,038.40

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Solution

The fourth proportional to 302,002.14, 416,763.22 and 166,038.40 is: 229,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,002.14 : 416,763.22 = 166,038.40 : x
  2. Step 2: Convert to fraction form
    302,002.14/416,763.22 = 166,038.40/x
  3. Step 3: Cross multiply
    302,002.14x = 416,763.22 × 166,038.40
  4. Step 4: Simplify right side
    302,002.14x = 69,198,698,227.65
  5. Step 5: Solve for x
    x = 69,198,698,227.65/302,002.14
  6. Step 6: Final answer
    x = 229,133.14

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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.