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Finding the Fourth Proportional to 234,101.64, 351,162.46 and 91,977.68

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Solution

The fourth proportional to 234,101.64, 351,162.46 and 91,977.68 is: 137,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,101.64 : 351,162.46 = 91,977.68 : x
  2. Step 2: Convert to fraction form
    234,101.64/351,162.46 = 91,977.68/x
  3. Step 3: Cross multiply
    234,101.64x = 351,162.46 × 91,977.68
  4. Step 4: Simplify right side
    234,101.64x = 32,299,108,373.89
  5. Step 5: Solve for x
    x = 32,299,108,373.89/234,101.64
  6. Step 6: Final answer
    x = 137,970.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.