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Finding the Fourth Proportional to 106,031.36, 146,373.36 and 67,288.70

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Solution

The fourth proportional to 106,031.36, 146,373.36 and 67,288.70 is: 92,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,031.36 : 146,373.36 = 67,288.70 : x
  2. Step 2: Convert to fraction form
    106,031.36/146,373.36 = 67,288.70/x
  3. Step 3: Cross multiply
    106,031.36x = 146,373.36 × 67,288.70
  4. Step 4: Simplify right side
    106,031.36x = 9,849,273,109.03
  5. Step 5: Solve for x
    x = 9,849,273,109.03/106,031.36
  6. Step 6: Final answer
    x = 92,890.19

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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.