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Finding the Fourth Proportional to 227,587.44, 313,935.18 and 147,062.28

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Solution

The fourth proportional to 227,587.44, 313,935.18 and 147,062.28 is: 202,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,587.44 : 313,935.18 = 147,062.28 : x
  2. Step 2: Convert to fraction form
    227,587.44/313,935.18 = 147,062.28/x
  3. Step 3: Cross multiply
    227,587.44x = 313,935.18 × 147,062.28
  4. Step 4: Simplify right side
    227,587.44x = 46,168,023,343.01
  5. Step 5: Solve for x
    x = 46,168,023,343.01/227,587.44
  6. Step 6: Final answer
    x = 202,858.40

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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.