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Finding the Fourth Proportional to 301,989.64, 416,744.52 and 166,032.16

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Solution

The fourth proportional to 301,989.64, 416,744.52 and 166,032.16 is: 229,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,989.64 : 416,744.52 = 166,032.16 : x
  2. Step 2: Convert to fraction form
    301,989.64/416,744.52 = 166,032.16/x
  3. Step 3: Cross multiply
    301,989.64x = 416,744.52 × 166,032.16
  4. Step 4: Simplify right side
    301,989.64x = 69,192,992,823.76
  5. Step 5: Solve for x
    x = 69,192,992,823.76/301,989.64
  6. Step 6: Final answer
    x = 229,123.73

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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.