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Finding the Fourth Proportional to 126,513.36, 189,802.98 and 37,766.91

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Solution

The fourth proportional to 126,513.36, 189,802.98 and 37,766.91 is: 56,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,513.36 : 189,802.98 = 37,766.91 : x
  2. Step 2: Convert to fraction form
    126,513.36/189,802.98 = 37,766.91/x
  3. Step 3: Cross multiply
    126,513.36x = 189,802.98 × 37,766.91
  4. Step 4: Simplify right side
    126,513.36x = 7,168,272,063.39
  5. Step 5: Solve for x
    x = 7,168,272,063.39/126,513.36
  6. Step 6: Final answer
    x = 56,660.20

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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.