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Finding the Fourth Proportional to 227,480.64, 314,023.94 and 146,947.42

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Solution

The fourth proportional to 227,480.64, 314,023.94 and 146,947.42 is: 202,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,480.64 : 314,023.94 = 146,947.42 : x
  2. Step 2: Convert to fraction form
    227,480.64/314,023.94 = 146,947.42/x
  3. Step 3: Cross multiply
    227,480.64x = 314,023.94 × 146,947.42
  4. Step 4: Simplify right side
    227,480.64x = 46,145,007,801.23
  5. Step 5: Solve for x
    x = 46,145,007,801.23/227,480.64
  6. Step 6: Final answer
    x = 202,852.46

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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.