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Finding the Fourth Proportional to 176,692.86, 243,831.78 and 101,236.50

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Solution

The fourth proportional to 176,692.86, 243,831.78 and 101,236.50 is: 139,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,692.86 : 243,831.78 = 101,236.50 : x
  2. Step 2: Convert to fraction form
    176,692.86/243,831.78 = 101,236.50/x
  3. Step 3: Cross multiply
    176,692.86x = 243,831.78 × 101,236.50
  4. Step 4: Simplify right side
    176,692.86x = 24,684,675,995.97
  5. Step 5: Solve for x
    x = 24,684,675,995.97/176,692.86
  6. Step 6: Final answer
    x = 139,703.87

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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.