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Finding the Fourth Proportional to 275,543.22, 413,358.03 and 117,772.50

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Solution

The fourth proportional to 275,543.22, 413,358.03 and 117,772.50 is: 176,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,543.22 : 413,358.03 = 117,772.50 : x
  2. Step 2: Convert to fraction form
    275,543.22/413,358.03 = 117,772.50/x
  3. Step 3: Cross multiply
    275,543.22x = 413,358.03 × 117,772.50
  4. Step 4: Simplify right side
    275,543.22x = 48,682,208,588.18
  5. Step 5: Solve for x
    x = 48,682,208,588.18/275,543.22
  6. Step 6: Final answer
    x = 176,677.21

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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.