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Finding the Fourth Proportional to 130,671.70, 195,984.17 and 34,609.57

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Solution

The fourth proportional to 130,671.70, 195,984.17 and 34,609.57 is: 51,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,671.70 : 195,984.17 = 34,609.57 : x
  2. Step 2: Convert to fraction form
    130,671.70/195,984.17 = 34,609.57/x
  3. Step 3: Cross multiply
    130,671.70x = 195,984.17 × 34,609.57
  4. Step 4: Simplify right side
    130,671.70x = 6,782,927,187.50
  5. Step 5: Solve for x
    x = 6,782,927,187.50/130,671.70
  6. Step 6: Final answer
    x = 51,908.16

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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.