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Finding the Fourth Proportional to 106,114.38, 146,458.64 and 60,822.72

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Solution

The fourth proportional to 106,114.38, 146,458.64 and 60,822.72 is: 83,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.38 : 146,458.64 = 60,822.72 : x
  2. Step 2: Convert to fraction form
    106,114.38/146,458.64 = 60,822.72/x
  3. Step 3: Cross multiply
    106,114.38x = 146,458.64 × 60,822.72
  4. Step 4: Simplify right side
    106,114.38x = 8,908,012,852.30
  5. Step 5: Solve for x
    x = 8,908,012,852.30/106,114.38
  6. Step 6: Final answer
    x = 83,947.27

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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.