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Finding the Fourth Proportional to 155,463.82, 233,203.02 and 50,291.02

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Solution

The fourth proportional to 155,463.82, 233,203.02 and 50,291.02 is: 75,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,463.82 : 233,203.02 = 50,291.02 : x
  2. Step 2: Convert to fraction form
    155,463.82/233,203.02 = 50,291.02/x
  3. Step 3: Cross multiply
    155,463.82x = 233,203.02 × 50,291.02
  4. Step 4: Simplify right side
    155,463.82x = 11,728,017,742.88
  5. Step 5: Solve for x
    x = 11,728,017,742.88/155,463.82
  6. Step 6: Final answer
    x = 75,438.89

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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.