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Finding the Fourth Proportional to 118,962.90, 164,082.73 and 101,029.50

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Solution

The fourth proportional to 118,962.90, 164,082.73 and 101,029.50 is: 139,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,962.90 : 164,082.73 = 101,029.50 : x
  2. Step 2: Convert to fraction form
    118,962.90/164,082.73 = 101,029.50/x
  3. Step 3: Cross multiply
    118,962.90x = 164,082.73 × 101,029.50
  4. Step 4: Simplify right side
    118,962.90x = 16,577,196,170.54
  5. Step 5: Solve for x
    x = 16,577,196,170.54/118,962.90
  6. Step 6: Final answer
    x = 139,347.61

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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.