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Finding the Fourth Proportional to 133,261.22, 199,818.63 and 65,644.48

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Solution

The fourth proportional to 133,261.22, 199,818.63 and 65,644.48 is: 98,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,261.22 : 199,818.63 = 65,644.48 : x
  2. Step 2: Convert to fraction form
    133,261.22/199,818.63 = 65,644.48/x
  3. Step 3: Cross multiply
    133,261.22x = 199,818.63 × 65,644.48
  4. Step 4: Simplify right side
    133,261.22x = 13,116,989,892.94
  5. Step 5: Solve for x
    x = 13,116,989,892.94/133,261.22
  6. Step 6: Final answer
    x = 98,430.66

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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.