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Finding the Fourth Proportional to 97,731.80, 137,101 and 97,731.80

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Solution

The fourth proportional to 97,731.80, 137,101 and 97,731.80 is: 137,101

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,731.80 : 137,101 = 97,731.80 : x
  2. Step 2: Convert to fraction form
    97,731.80/137,101 = 97,731.80/x
  3. Step 3: Cross multiply
    97,731.80x = 137,101 × 97,731.80
  4. Step 4: Simplify right side
    97,731.80x = 13,399,127,511.80
  5. Step 5: Solve for x
    x = 13,399,127,511.80/97,731.80
  6. Step 6: Final answer
    x = 137,101

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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.