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Finding the Fourth Proportional to 115,294.50, 159,106.41 and 62,302.50

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Solution

The fourth proportional to 115,294.50, 159,106.41 and 62,302.50 is: 85,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,294.50 : 159,106.41 = 62,302.50 : x
  2. Step 2: Convert to fraction form
    115,294.50/159,106.41 = 62,302.50/x
  3. Step 3: Cross multiply
    115,294.50x = 159,106.41 × 62,302.50
  4. Step 4: Simplify right side
    115,294.50x = 9,912,727,109.03
  5. Step 5: Solve for x
    x = 9,912,727,109.03/115,294.50
  6. Step 6: Final answer
    x = 85,977.45

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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.