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Finding the Fourth Proportional to 213,732.34, 320,686.82 and 93,727.19

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Solution

The fourth proportional to 213,732.34, 320,686.82 and 93,727.19 is: 140,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,732.34 : 320,686.82 = 93,727.19 : x
  2. Step 2: Convert to fraction form
    213,732.34/320,686.82 = 93,727.19/x
  3. Step 3: Cross multiply
    213,732.34x = 320,686.82 × 93,727.19
  4. Step 4: Simplify right side
    213,732.34x = 30,057,075,193.19
  5. Step 5: Solve for x
    x = 30,057,075,193.19/213,732.34
  6. Step 6: Final answer
    x = 140,629.52

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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.