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Finding the Fourth Proportional to 267,365.56, 368,964.56 and 146,505.86

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Solution

The fourth proportional to 267,365.56, 368,964.56 and 146,505.86 is: 202,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,365.56 : 368,964.56 = 146,505.86 : x
  2. Step 2: Convert to fraction form
    267,365.56/368,964.56 = 146,505.86/x
  3. Step 3: Cross multiply
    267,365.56x = 368,964.56 × 146,505.86
  4. Step 4: Simplify right side
    267,365.56x = 54,055,470,172.32
  5. Step 5: Solve for x
    x = 54,055,470,172.32/267,365.56
  6. Step 6: Final answer
    x = 202,178.13

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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.