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Finding the Fourth Proportional to 97,726.30, 137,093.30 and 97,726.30

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Solution

The fourth proportional to 97,726.30, 137,093.30 and 97,726.30 is: 137,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,726.30 : 137,093.30 = 97,726.30 : x
  2. Step 2: Convert to fraction form
    97,726.30/137,093.30 = 97,726.30/x
  3. Step 3: Cross multiply
    97,726.30x = 137,093.30 × 97,726.30
  4. Step 4: Simplify right side
    97,726.30x = 13,397,620,963.79
  5. Step 5: Solve for x
    x = 13,397,620,963.79/97,726.30
  6. Step 6: Final answer
    x = 137,093.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.