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Finding the Fourth Proportional to 115,777.64, 159,633.06 and 97,841

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Solution

The fourth proportional to 115,777.64, 159,633.06 and 97,841 is: 134,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,777.64 : 159,633.06 = 97,841 : x
  2. Step 2: Convert to fraction form
    115,777.64/159,633.06 = 97,841/x
  3. Step 3: Cross multiply
    115,777.64x = 159,633.06 × 97,841
  4. Step 4: Simplify right side
    115,777.64x = 15,618,658,223.46
  5. Step 5: Solve for x
    x = 15,618,658,223.46/115,777.64
  6. Step 6: Final answer
    x = 134,902.20

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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.