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Finding the Fourth Proportional to 164,722.64, 244,964.85 and 159,473.84

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Solution

The fourth proportional to 164,722.64, 244,964.85 and 159,473.84 is: 237,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,722.64 : 244,964.85 = 159,473.84 : x
  2. Step 2: Convert to fraction form
    164,722.64/244,964.85 = 159,473.84/x
  3. Step 3: Cross multiply
    164,722.64x = 244,964.85 × 159,473.84
  4. Step 4: Simplify right side
    164,722.64x = 39,065,485,294.52
  5. Step 5: Solve for x
    x = 39,065,485,294.52/164,722.64
  6. Step 6: Final answer
    x = 237,159.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.