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Finding the Fourth Proportional to 133,057, 199,543.98 and 44,289.76

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Solution

The fourth proportional to 133,057, 199,543.98 and 44,289.76 is: 66,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,057 : 199,543.98 = 44,289.76 : x
  2. Step 2: Convert to fraction form
    133,057/199,543.98 = 44,289.76/x
  3. Step 3: Cross multiply
    133,057x = 199,543.98 × 44,289.76
  4. Step 4: Simplify right side
    133,057x = 8,837,754,983.64
  5. Step 5: Solve for x
    x = 8,837,754,983.64/133,057
  6. Step 6: Final answer
    x = 66,420.82

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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.