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Finding the Fourth Proportional to 164,462.04, 226,956 and 92,840.52

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Solution

The fourth proportional to 164,462.04, 226,956 and 92,840.52 is: 128,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,462.04 : 226,956 = 92,840.52 : x
  2. Step 2: Convert to fraction form
    164,462.04/226,956 = 92,840.52/x
  3. Step 3: Cross multiply
    164,462.04x = 226,956 × 92,840.52
  4. Step 4: Simplify right side
    164,462.04x = 21,070,713,057.12
  5. Step 5: Solve for x
    x = 21,070,713,057.12/164,462.04
  6. Step 6: Final answer
    x = 128,119.01

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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.