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Finding the Fourth Proportional to 132,807.84, 199,231.20 and 48,572.16

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Solution

The fourth proportional to 132,807.84, 199,231.20 and 48,572.16 is: 72,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,807.84 : 199,231.20 = 48,572.16 : x
  2. Step 2: Convert to fraction form
    132,807.84/199,231.20 = 48,572.16/x
  3. Step 3: Cross multiply
    132,807.84x = 199,231.20 × 48,572.16
  4. Step 4: Simplify right side
    132,807.84x = 9,677,089,723.39
  5. Step 5: Solve for x
    x = 9,677,089,723.39/132,807.84
  6. Step 6: Final answer
    x = 72,865.35

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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.