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Finding the Fourth Proportional to 176,938.80, 264,760.20 and 130,282.80

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Solution

The fourth proportional to 176,938.80, 264,760.20 and 130,282.80 is: 194,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,938.80 : 264,760.20 = 130,282.80 : x
  2. Step 2: Convert to fraction form
    176,938.80/264,760.20 = 130,282.80/x
  3. Step 3: Cross multiply
    176,938.80x = 264,760.20 × 130,282.80
  4. Step 4: Simplify right side
    176,938.80x = 34,493,700,184.56
  5. Step 5: Solve for x
    x = 34,493,700,184.56/176,938.80
  6. Step 6: Final answer
    x = 194,947.07

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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.