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Finding the Fourth Proportional to 136,941.40, 205,412.10 and 81,645.40

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Solution

The fourth proportional to 136,941.40, 205,412.10 and 81,645.40 is: 122,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,941.40 : 205,412.10 = 81,645.40 : x
  2. Step 2: Convert to fraction form
    136,941.40/205,412.10 = 81,645.40/x
  3. Step 3: Cross multiply
    136,941.40x = 205,412.10 × 81,645.40
  4. Step 4: Simplify right side
    136,941.40x = 16,770,953,069.34
  5. Step 5: Solve for x
    x = 16,770,953,069.34/136,941.40
  6. Step 6: Final answer
    x = 122,468.10

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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.