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Finding the Fourth Proportional to 189,155.34, 283,800.78 and 81,039.38

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Solution

The fourth proportional to 189,155.34, 283,800.78 and 81,039.38 is: 121,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,155.34 : 283,800.78 = 81,039.38 : x
  2. Step 2: Convert to fraction form
    189,155.34/283,800.78 = 81,039.38/x
  3. Step 3: Cross multiply
    189,155.34x = 283,800.78 × 81,039.38
  4. Step 4: Simplify right side
    189,155.34x = 22,999,037,835.71
  5. Step 5: Solve for x
    x = 22,999,037,835.71/189,155.34
  6. Step 6: Final answer
    x = 121,588.10

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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.