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Finding the Fourth Proportional to 430,105.14, 645,182.82 and 130,595.49

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Solution

The fourth proportional to 430,105.14, 645,182.82 and 130,595.49 is: 195,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,105.14 : 645,182.82 = 130,595.49 : x
  2. Step 2: Convert to fraction form
    430,105.14/645,182.82 = 130,595.49/x
  3. Step 3: Cross multiply
    430,105.14x = 645,182.82 × 130,595.49
  4. Step 4: Simplify right side
    430,105.14x = 84,257,966,517.48
  5. Step 5: Solve for x
    x = 84,257,966,517.48/430,105.14
  6. Step 6: Final answer
    x = 195,900.86

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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.