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Finding the Fourth Proportional to 223,633.16, 334,645.74 and 164,321.48

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Solution

The fourth proportional to 223,633.16, 334,645.74 and 164,321.48 is: 245,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,633.16 : 334,645.74 = 164,321.48 : x
  2. Step 2: Convert to fraction form
    223,633.16/334,645.74 = 164,321.48/x
  3. Step 3: Cross multiply
    223,633.16x = 334,645.74 × 164,321.48
  4. Step 4: Simplify right side
    223,633.16x = 54,989,483,272.50
  5. Step 5: Solve for x
    x = 54,989,483,272.50/223,633.16
  6. Step 6: Final answer
    x = 245,891.46

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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.