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Finding the Fourth Proportional to 169,099.28, 233,244.72 and 108,746.28

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Solution

The fourth proportional to 169,099.28, 233,244.72 and 108,746.28 is: 149,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,099.28 : 233,244.72 = 108,746.28 : x
  2. Step 2: Convert to fraction form
    169,099.28/233,244.72 = 108,746.28/x
  3. Step 3: Cross multiply
    169,099.28x = 233,244.72 × 108,746.28
  4. Step 4: Simplify right side
    169,099.28x = 25,364,495,629.64
  5. Step 5: Solve for x
    x = 25,364,495,629.64/169,099.28
  6. Step 6: Final answer
    x = 149,997.66

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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.