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Finding the Fourth Proportional to 137,197.72, 205,656.26 and 92,829.16

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Solution

The fourth proportional to 137,197.72, 205,656.26 and 92,829.16 is: 139,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,197.72 : 205,656.26 = 92,829.16 : x
  2. Step 2: Convert to fraction form
    137,197.72/205,656.26 = 92,829.16/x
  3. Step 3: Cross multiply
    137,197.72x = 205,656.26 × 92,829.16
  4. Step 4: Simplify right side
    137,197.72x = 19,090,897,864.54
  5. Step 5: Solve for x
    x = 19,090,897,864.54/137,197.72
  6. Step 6: Final answer
    x = 139,148.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.