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Finding the Fourth Proportional to 224,657.83, 336,820.29 and 106,190.74

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Solution

The fourth proportional to 224,657.83, 336,820.29 and 106,190.74 is: 159,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,657.83 : 336,820.29 = 106,190.74 : x
  2. Step 2: Convert to fraction form
    224,657.83/336,820.29 = 106,190.74/x
  3. Step 3: Cross multiply
    224,657.83x = 336,820.29 × 106,190.74
  4. Step 4: Simplify right side
    224,657.83x = 35,767,195,842.11
  5. Step 5: Solve for x
    x = 35,767,195,842.11/224,657.83
  6. Step 6: Final answer
    x = 159,207.43

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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.