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Finding the Fourth Proportional to 130,123.20, 194,893.20 and 106,795.20

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Solution

The fourth proportional to 130,123.20, 194,893.20 and 106,795.20 is: 159,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,123.20 : 194,893.20 = 106,795.20 : x
  2. Step 2: Convert to fraction form
    130,123.20/194,893.20 = 106,795.20/x
  3. Step 3: Cross multiply
    130,123.20x = 194,893.20 × 106,795.20
  4. Step 4: Simplify right side
    130,123.20x = 20,813,658,272.64
  5. Step 5: Solve for x
    x = 20,813,658,272.64/130,123.20
  6. Step 6: Final answer
    x = 159,953.48

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1.5x scale

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.