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Finding the Fourth Proportional to 133,039.10, 199,558.65 and 83,434.70

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Solution

The fourth proportional to 133,039.10, 199,558.65 and 83,434.70 is: 125,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,039.10 : 199,558.65 = 83,434.70 : x
  2. Step 2: Convert to fraction form
    133,039.10/199,558.65 = 83,434.70/x
  3. Step 3: Cross multiply
    133,039.10x = 199,558.65 × 83,434.70
  4. Step 4: Simplify right side
    133,039.10x = 16,650,116,095.16
  5. Step 5: Solve for x
    x = 16,650,116,095.16/133,039.10
  6. Step 6: Final answer
    x = 125,152.05

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