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Finding the Fourth Proportional to 136,864.60, 205,412.10 and 66,803.80

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Solution

The fourth proportional to 136,864.60, 205,412.10 and 66,803.80 is: 100,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,864.60 : 205,412.10 = 66,803.80 : x
  2. Step 2: Convert to fraction form
    136,864.60/205,412.10 = 66,803.80/x
  3. Step 3: Cross multiply
    136,864.60x = 205,412.10 × 66,803.80
  4. Step 4: Simplify right side
    136,864.60x = 13,722,308,845.98
  5. Step 5: Solve for x
    x = 13,722,308,845.98/136,864.60
  6. Step 6: Final answer
    x = 100,261.93

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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.