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Finding the Fourth Proportional to 106,102.50, 146,417.64 and 58,353

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Solution

The fourth proportional to 106,102.50, 146,417.64 and 58,353 is: 80,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102.50 : 146,417.64 = 58,353 : x
  2. Step 2: Convert to fraction form
    106,102.50/146,417.64 = 58,353/x
  3. Step 3: Cross multiply
    106,102.50x = 146,417.64 × 58,353
  4. Step 4: Simplify right side
    106,102.50x = 8,543,908,546.92
  5. Step 5: Solve for x
    x = 8,543,908,546.92/106,102.50
  6. Step 6: Final answer
    x = 80,525.04

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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.