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Finding the Fourth Proportional to 267,661.47, 369,383.16 and 146,807.85

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Solution

The fourth proportional to 267,661.47, 369,383.16 and 146,807.85 is: 202,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,661.47 : 369,383.16 = 146,807.85 : x
  2. Step 2: Convert to fraction form
    267,661.47/369,383.16 = 146,807.85/x
  3. Step 3: Cross multiply
    267,661.47x = 369,383.16 × 146,807.85
  4. Step 4: Simplify right side
    267,661.47x = 54,228,347,545.81
  5. Step 5: Solve for x
    x = 54,228,347,545.81/267,661.47
  6. Step 6: Final answer
    x = 202,600.50

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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.