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Finding the Fourth Proportional to 169,194, 253,749.42 and 74,448

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Solution

The fourth proportional to 169,194, 253,749.42 and 74,448 is: 111,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,194 : 253,749.42 = 74,448 : x
  2. Step 2: Convert to fraction form
    169,194/253,749.42 = 74,448/x
  3. Step 3: Cross multiply
    169,194x = 253,749.42 × 74,448
  4. Step 4: Simplify right side
    169,194x = 18,891,136,820.16
  5. Step 5: Solve for x
    x = 18,891,136,820.16/169,194
  6. Step 6: Final answer
    x = 111,653.70

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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.