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Finding the Fourth Proportional to 133,796.16, 200,643.48 and 43,817.76

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Solution

The fourth proportional to 133,796.16, 200,643.48 and 43,817.76 is: 65,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,796.16 : 200,643.48 = 43,817.76 : x
  2. Step 2: Convert to fraction form
    133,796.16/200,643.48 = 43,817.76/x
  3. Step 3: Cross multiply
    133,796.16x = 200,643.48 × 43,817.76
  4. Step 4: Simplify right side
    133,796.16x = 8,791,747,852.20
  5. Step 5: Solve for x
    x = 8,791,747,852.20/133,796.16
  6. Step 6: Final answer
    x = 65,710.02

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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.