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Finding the Fourth Proportional to 267,071.77, 368,559.13 and 146,220.73

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Solution

The fourth proportional to 267,071.77, 368,559.13 and 146,220.73 is: 201,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,071.77 : 368,559.13 = 146,220.73 : x
  2. Step 2: Convert to fraction form
    267,071.77/368,559.13 = 146,220.73/x
  3. Step 3: Cross multiply
    267,071.77x = 368,559.13 × 146,220.73
  4. Step 4: Simplify right side
    267,071.77x = 53,890,985,036.76
  5. Step 5: Solve for x
    x = 53,890,985,036.76/267,071.77
  6. Step 6: Final answer
    x = 201,784.66

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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.