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Finding the Fourth Proportional to 207,944.30, 312,024.45 and 97,136.30

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Solution

The fourth proportional to 207,944.30, 312,024.45 and 97,136.30 is: 145,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,944.30 : 312,024.45 = 97,136.30 : x
  2. Step 2: Convert to fraction form
    207,944.30/312,024.45 = 97,136.30/x
  3. Step 3: Cross multiply
    207,944.30x = 312,024.45 × 97,136.30
  4. Step 4: Simplify right side
    207,944.30x = 30,308,900,582.54
  5. Step 5: Solve for x
    x = 30,308,900,582.54/207,944.30
  6. Step 6: Final answer
    x = 145,754.90

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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.