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Finding the Fourth Proportional to 302,035.64, 416,797.97 and 166,061.50

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Solution

The fourth proportional to 302,035.64, 416,797.97 and 166,061.50 is: 229,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,035.64 : 416,797.97 = 166,061.50 : x
  2. Step 2: Convert to fraction form
    302,035.64/416,797.97 = 166,061.50/x
  3. Step 3: Cross multiply
    302,035.64x = 416,797.97 × 166,061.50
  4. Step 4: Simplify right side
    302,035.64x = 69,214,096,095.16
  5. Step 5: Solve for x
    x = 69,214,096,095.16/302,035.64
  6. Step 6: Final answer
    x = 229,158.70

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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.