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Finding the Fourth Proportional to 108,902.56, 163,468.32 and 96,502

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Solution

The fourth proportional to 108,902.56, 163,468.32 and 96,502 is: 144,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,902.56 : 163,468.32 = 96,502 : x
  2. Step 2: Convert to fraction form
    108,902.56/163,468.32 = 96,502/x
  3. Step 3: Cross multiply
    108,902.56x = 163,468.32 × 96,502
  4. Step 4: Simplify right side
    108,902.56x = 15,775,019,816.64
  5. Step 5: Solve for x
    x = 15,775,019,816.64/108,902.56
  6. Step 6: Final answer
    x = 144,854.44

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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.