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Finding the Fourth Proportional to 381,858.76, 572,744.22 and 101,398.60

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Solution

The fourth proportional to 381,858.76, 572,744.22 and 101,398.60 is: 152,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,858.76 : 572,744.22 = 101,398.60 : x
  2. Step 2: Convert to fraction form
    381,858.76/572,744.22 = 101,398.60/x
  3. Step 3: Cross multiply
    381,858.76x = 572,744.22 × 101,398.60
  4. Step 4: Simplify right side
    381,858.76x = 58,075,462,066.09
  5. Step 5: Solve for x
    x = 58,075,462,066.09/381,858.76
  6. Step 6: Final answer
    x = 152,086.24

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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.