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Finding the Fourth Proportional to 163,647.52, 225,722.52 and 106,184.16

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Solution

The fourth proportional to 163,647.52, 225,722.52 and 106,184.16 is: 146,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,647.52 : 225,722.52 = 106,184.16 : x
  2. Step 2: Convert to fraction form
    163,647.52/225,722.52 = 106,184.16/x
  3. Step 3: Cross multiply
    163,647.52x = 225,722.52 × 106,184.16
  4. Step 4: Simplify right side
    163,647.52x = 23,968,156,179.28
  5. Step 5: Solve for x
    x = 23,968,156,179.28/163,647.52
  6. Step 6: Final answer
    x = 146,462.08

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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.