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Finding the Fourth Proportional to 147,844, 221,801.10 and 48,004.48

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Solution

The fourth proportional to 147,844, 221,801.10 and 48,004.48 is: 72,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,844 : 221,801.10 = 48,004.48 : x
  2. Step 2: Convert to fraction form
    147,844/221,801.10 = 48,004.48/x
  3. Step 3: Cross multiply
    147,844x = 221,801.10 × 48,004.48
  4. Step 4: Simplify right side
    147,844x = 10,647,446,468.93
  5. Step 5: Solve for x
    x = 10,647,446,468.93/147,844
  6. Step 6: Final answer
    x = 72,018.12

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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.