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Finding the Fourth Proportional to 421,045.80, 631,611.20 and 136,724.46

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Solution

The fourth proportional to 421,045.80, 631,611.20 and 136,724.46 is: 205,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,045.80 : 631,611.20 = 136,724.46 : x
  2. Step 2: Convert to fraction form
    421,045.80/631,611.20 = 136,724.46/x
  3. Step 3: Cross multiply
    421,045.80x = 631,611.20 × 136,724.46
  4. Step 4: Simplify right side
    421,045.80x = 86,356,700,249.95
  5. Step 5: Solve for x
    x = 86,356,700,249.95/421,045.80
  6. Step 6: Final answer
    x = 205,100.49

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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.