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Finding the Fourth Proportional to 164,807.12, 227,442.16 and 92,218.16

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Solution

The fourth proportional to 164,807.12, 227,442.16 and 92,218.16 is: 127,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,807.12 : 227,442.16 = 92,218.16 : x
  2. Step 2: Convert to fraction form
    164,807.12/227,442.16 = 92,218.16/x
  3. Step 3: Cross multiply
    164,807.12x = 227,442.16 × 92,218.16
  4. Step 4: Simplify right side
    164,807.12x = 20,974,297,501.63
  5. Step 5: Solve for x
    x = 20,974,297,501.63/164,807.12
  6. Step 6: Final answer
    x = 127,265.72

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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.