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Finding the Fourth Proportional to 106,472.94, 146,932.35 and 61,153.86

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Solution

The fourth proportional to 106,472.94, 146,932.35 and 61,153.86 is: 84,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,472.94 : 146,932.35 = 61,153.86 : x
  2. Step 2: Convert to fraction form
    106,472.94/146,932.35 = 61,153.86/x
  3. Step 3: Cross multiply
    106,472.94x = 146,932.35 × 61,153.86
  4. Step 4: Simplify right side
    106,472.94x = 8,985,480,361.37
  5. Step 5: Solve for x
    x = 8,985,480,361.37/106,472.94
  6. Step 6: Final answer
    x = 84,392.15

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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.