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Finding the Fourth Proportional to 130,177.80, 194,834.70 and 94,537.80

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Solution

The fourth proportional to 130,177.80, 194,834.70 and 94,537.80 is: 141,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,177.80 : 194,834.70 = 94,537.80 : x
  2. Step 2: Convert to fraction form
    130,177.80/194,834.70 = 94,537.80/x
  3. Step 3: Cross multiply
    130,177.80x = 194,834.70 × 94,537.80
  4. Step 4: Simplify right side
    130,177.80x = 18,419,243,901.66
  5. Step 5: Solve for x
    x = 18,419,243,901.66/130,177.80
  6. Step 6: Final answer
    x = 141,492.97

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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.