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Finding the Fourth Proportional to 97,683.40, 137,067.80 and 97,683.40

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Solution

The fourth proportional to 97,683.40, 137,067.80 and 97,683.40 is: 137,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,683.40 : 137,067.80 = 97,683.40 : x
  2. Step 2: Convert to fraction form
    97,683.40/137,067.80 = 97,683.40/x
  3. Step 3: Cross multiply
    97,683.40x = 137,067.80 × 97,683.40
  4. Step 4: Simplify right side
    97,683.40x = 13,389,248,734.52
  5. Step 5: Solve for x
    x = 13,389,248,734.52/97,683.40
  6. Step 6: Final answer
    x = 137,067.80

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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.