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Finding the Fourth Proportional to 275,123.40, 412,685.10 and 157,025.40

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Solution

The fourth proportional to 275,123.40, 412,685.10 and 157,025.40 is: 235,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,123.40 : 412,685.10 = 157,025.40 : x
  2. Step 2: Convert to fraction form
    275,123.40/412,685.10 = 157,025.40/x
  3. Step 3: Cross multiply
    275,123.40x = 412,685.10 × 157,025.40
  4. Step 4: Simplify right side
    275,123.40x = 64,802,042,901.54
  5. Step 5: Solve for x
    x = 64,802,042,901.54/275,123.40
  6. Step 6: Final answer
    x = 235,538.10

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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.