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Finding the Fourth Proportional to 165,816, 248,724.72 and 55,008

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Solution

The fourth proportional to 165,816, 248,724.72 and 55,008 is: 82,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,816 : 248,724.72 = 55,008 : x
  2. Step 2: Convert to fraction form
    165,816/248,724.72 = 55,008/x
  3. Step 3: Cross multiply
    165,816x = 248,724.72 × 55,008
  4. Step 4: Simplify right side
    165,816x = 13,681,849,397.76
  5. Step 5: Solve for x
    x = 13,681,849,397.76/165,816
  6. Step 6: Final answer
    x = 82,512.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.