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Finding the Fourth Proportional to 224,303.91, 309,364.47 and 143,738.94

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Solution

The fourth proportional to 224,303.91, 309,364.47 and 143,738.94 is: 198,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,303.91 : 309,364.47 = 143,738.94 : x
  2. Step 2: Convert to fraction form
    224,303.91/309,364.47 = 143,738.94/x
  3. Step 3: Cross multiply
    224,303.91x = 309,364.47 × 143,738.94
  4. Step 4: Simplify right side
    224,303.91x = 44,467,720,991.46
  5. Step 5: Solve for x
    x = 44,467,720,991.46/224,303.91
  6. Step 6: Final answer
    x = 198,247.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.