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Finding the Fourth Proportional to 106,892.35, 147,509.13 and 58,494.06

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Solution

The fourth proportional to 106,892.35, 147,509.13 and 58,494.06 is: 80,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,892.35 : 147,509.13 = 58,494.06 : x
  2. Step 2: Convert to fraction form
    106,892.35/147,509.13 = 58,494.06/x
  3. Step 3: Cross multiply
    106,892.35x = 147,509.13 × 58,494.06
  4. Step 4: Simplify right side
    106,892.35x = 8,628,407,900.77
  5. Step 5: Solve for x
    x = 8,628,407,900.77/106,892.35
  6. Step 6: Final answer
    x = 80,720.54

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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.