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Finding the Fourth Proportional to 165,422, 248,100.06 and 47,094.32

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Solution

The fourth proportional to 165,422, 248,100.06 and 47,094.32 is: 70,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,422 : 248,100.06 = 47,094.32 : x
  2. Step 2: Convert to fraction form
    165,422/248,100.06 = 47,094.32/x
  3. Step 3: Cross multiply
    165,422x = 248,100.06 × 47,094.32
  4. Step 4: Simplify right side
    165,422x = 11,684,103,617.66
  5. Step 5: Solve for x
    x = 11,684,103,617.66/165,422
  6. Step 6: Final answer
    x = 70,632.10

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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.