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Finding the Fourth Proportional to 224,309.48, 309,650.73 and 138,283.83

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Solution

The fourth proportional to 224,309.48, 309,650.73 and 138,283.83 is: 190,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,309.48 : 309,650.73 = 138,283.83 : x
  2. Step 2: Convert to fraction form
    224,309.48/309,650.73 = 138,283.83/x
  3. Step 3: Cross multiply
    224,309.48x = 309,650.73 × 138,283.83
  4. Step 4: Simplify right side
    224,309.48x = 42,819,689,165.98
  5. Step 5: Solve for x
    x = 42,819,689,165.98/224,309.48
  6. Step 6: Final answer
    x = 190,895.59

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