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Finding the Fourth Proportional to 101,117.75, 139,542.50 and 56,405.75

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Solution

The fourth proportional to 101,117.75, 139,542.50 and 56,405.75 is: 77,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,117.75 : 139,542.50 = 56,405.75 : x
  2. Step 2: Convert to fraction form
    101,117.75/139,542.50 = 56,405.75/x
  3. Step 3: Cross multiply
    101,117.75x = 139,542.50 × 56,405.75
  4. Step 4: Simplify right side
    101,117.75x = 7,870,999,369.38
  5. Step 5: Solve for x
    x = 7,870,999,369.38/101,117.75
  6. Step 6: Final answer
    x = 77,839.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.