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Finding the Fourth Proportional to 189,322.29, 283,900.59 and 70,910.64

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Solution

The fourth proportional to 189,322.29, 283,900.59 and 70,910.64 is: 106,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,322.29 : 283,900.59 = 70,910.64 : x
  2. Step 2: Convert to fraction form
    189,322.29/283,900.59 = 70,910.64/x
  3. Step 3: Cross multiply
    189,322.29x = 283,900.59 × 70,910.64
  4. Step 4: Simplify right side
    189,322.29x = 20,131,572,533.28
  5. Step 5: Solve for x
    x = 20,131,572,533.28/189,322.29
  6. Step 6: Final answer
    x = 106,334.93

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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.