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Finding the Fourth Proportional to 150,446.50, 224,324.72 and 146,313.07

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Solution

The fourth proportional to 150,446.50, 224,324.72 and 146,313.07 is: 218,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,446.50 : 224,324.72 = 146,313.07 : x
  2. Step 2: Convert to fraction form
    150,446.50/224,324.72 = 146,313.07/x
  3. Step 3: Cross multiply
    150,446.50x = 224,324.72 × 146,313.07
  4. Step 4: Simplify right side
    150,446.50x = 32,821,637,167.71
  5. Step 5: Solve for x
    x = 32,821,637,167.71/150,446.50
  6. Step 6: Final answer
    x = 218,161.52

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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.