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Finding the Fourth Proportional to 210,472.50, 315,735.60 and 96,592.68

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Solution

The fourth proportional to 210,472.50, 315,735.60 and 96,592.68 is: 144,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,472.50 : 315,735.60 = 96,592.68 : x
  2. Step 2: Convert to fraction form
    210,472.50/315,735.60 = 96,592.68/x
  3. Step 3: Cross multiply
    210,472.50x = 315,735.60 × 96,592.68
  4. Step 4: Simplify right side
    210,472.50x = 30,497,747,775.41
  5. Step 5: Solve for x
    x = 30,497,747,775.41/210,472.50
  6. Step 6: Final answer
    x = 144,901.34

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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.