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Finding the Fourth Proportional to 115,294.56, 171,795.73 and 102,717.96

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Solution

The fourth proportional to 115,294.56, 171,795.73 and 102,717.96 is: 153,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,294.56 : 171,795.73 = 102,717.96 : x
  2. Step 2: Convert to fraction form
    115,294.56/171,795.73 = 102,717.96/x
  3. Step 3: Cross multiply
    115,294.56x = 171,795.73 × 102,717.96
  4. Step 4: Simplify right side
    115,294.56x = 17,646,506,922.31
  5. Step 5: Solve for x
    x = 17,646,506,922.31/115,294.56
  6. Step 6: Final answer
    x = 153,055.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.