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Finding the Fourth Proportional to 70,233.60, 105,254.40 and 45,196.80

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Solution

The fourth proportional to 70,233.60, 105,254.40 and 45,196.80 is: 67,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,233.60 : 105,254.40 = 45,196.80 : x
  2. Step 2: Convert to fraction form
    70,233.60/105,254.40 = 45,196.80/x
  3. Step 3: Cross multiply
    70,233.60x = 105,254.40 × 45,196.80
  4. Step 4: Simplify right side
    70,233.60x = 4,757,162,065.92
  5. Step 5: Solve for x
    x = 4,757,162,065.92/70,233.60
  6. Step 6: Final answer
    x = 67,733.42

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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.