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Finding the Fourth Proportional to 150,683.94, 226,060.43 and 65,309.13

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Solution

The fourth proportional to 150,683.94, 226,060.43 and 65,309.13 is: 97,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,683.94 : 226,060.43 = 65,309.13 : x
  2. Step 2: Convert to fraction form
    150,683.94/226,060.43 = 65,309.13/x
  3. Step 3: Cross multiply
    150,683.94x = 226,060.43 × 65,309.13
  4. Step 4: Simplify right side
    150,683.94x = 14,763,810,174.00
  5. Step 5: Solve for x
    x = 14,763,810,174.00/150,683.94
  6. Step 6: Final answer
    x = 97,978.66

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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.