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Finding the Fourth Proportional to 137,056.68, 189,145.44 and 83,332.80

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Solution

The fourth proportional to 137,056.68, 189,145.44 and 83,332.80 is: 115,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056.68 : 189,145.44 = 83,332.80 : x
  2. Step 2: Convert to fraction form
    137,056.68/189,145.44 = 83,332.80/x
  3. Step 3: Cross multiply
    137,056.68x = 189,145.44 × 83,332.80
  4. Step 4: Simplify right side
    137,056.68x = 15,762,019,122.43
  5. Step 5: Solve for x
    x = 15,762,019,122.43/137,056.68
  6. Step 6: Final answer
    x = 115,003.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.