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Finding the Fourth Proportional to 252,553.76, 348,513.21 and 137,829.50

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Solution

The fourth proportional to 252,553.76, 348,513.21 and 137,829.50 is: 190,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,553.76 : 348,513.21 = 137,829.50 : x
  2. Step 2: Convert to fraction form
    252,553.76/348,513.21 = 137,829.50/x
  3. Step 3: Cross multiply
    252,553.76x = 348,513.21 × 137,829.50
  4. Step 4: Simplify right side
    252,553.76x = 48,035,401,477.70
  5. Step 5: Solve for x
    x = 48,035,401,477.70/252,553.76
  6. Step 6: Final answer
    x = 190,198.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.