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Finding the Fourth Proportional to 136,984.96, 205,518.98 and 97,081.10

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Solution

The fourth proportional to 136,984.96, 205,518.98 and 97,081.10 is: 145,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,984.96 : 205,518.98 = 97,081.10 : x
  2. Step 2: Convert to fraction form
    136,984.96/205,518.98 = 97,081.10/x
  3. Step 3: Cross multiply
    136,984.96x = 205,518.98 × 97,081.10
  4. Step 4: Simplify right side
    136,984.96x = 19,952,008,649.28
  5. Step 5: Solve for x
    x = 19,952,008,649.28/136,984.96
  6. Step 6: Final answer
    x = 145,651.09

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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.