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Finding the Fourth Proportional to 106,364.40, 146,844.09 and 70,602.90

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Solution

The fourth proportional to 106,364.40, 146,844.09 and 70,602.90 is: 97,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,364.40 : 146,844.09 = 70,602.90 : x
  2. Step 2: Convert to fraction form
    106,364.40/146,844.09 = 70,602.90/x
  3. Step 3: Cross multiply
    106,364.40x = 146,844.09 × 70,602.90
  4. Step 4: Simplify right side
    106,364.40x = 10,367,618,601.86
  5. Step 5: Solve for x
    x = 10,367,618,601.86/106,364.40
  6. Step 6: Final answer
    x = 97,472.64

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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.