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Finding the Fourth Proportional to 150,447, 224,325.46 and 146,313.57

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Solution

The fourth proportional to 150,447, 224,325.46 and 146,313.57 is: 218,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,447 : 224,325.46 = 146,313.57 : x
  2. Step 2: Convert to fraction form
    150,447/224,325.46 = 146,313.57/x
  3. Step 3: Cross multiply
    150,447x = 224,325.46 × 146,313.57
  4. Step 4: Simplify right side
    150,447x = 32,821,858,894.49
  5. Step 5: Solve for x
    x = 32,821,858,894.49/150,447
  6. Step 6: Final answer
    x = 218,162.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.