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Finding the Fourth Proportional to 150,154.40, 225,231.60 and 147,821.60

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Solution

The fourth proportional to 150,154.40, 225,231.60 and 147,821.60 is: 221,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,154.40 : 225,231.60 = 147,821.60 : x
  2. Step 2: Convert to fraction form
    150,154.40/225,231.60 = 147,821.60/x
  3. Step 3: Cross multiply
    150,154.40x = 225,231.60 × 147,821.60
  4. Step 4: Simplify right side
    150,154.40x = 33,294,095,482.56
  5. Step 5: Solve for x
    x = 33,294,095,482.56/150,154.40
  6. Step 6: Final answer
    x = 221,732.40

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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.