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Finding the Fourth Proportional to 150,703.77, 207,749.16 and 114,831.57

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Solution

The fourth proportional to 150,703.77, 207,749.16 and 114,831.57 is: 158,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,703.77 : 207,749.16 = 114,831.57 : x
  2. Step 2: Convert to fraction form
    150,703.77/207,749.16 = 114,831.57/x
  3. Step 3: Cross multiply
    150,703.77x = 207,749.16 × 114,831.57
  4. Step 4: Simplify right side
    150,703.77x = 23,856,162,208.98
  5. Step 5: Solve for x
    x = 23,856,162,208.98/150,703.77
  6. Step 6: Final answer
    x = 158,298.38

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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.