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Finding the Fourth Proportional to 149,573.16, 224,172.65 and 74,714.21

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Solution

The fourth proportional to 149,573.16, 224,172.65 and 74,714.21 is: 111,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,573.16 : 224,172.65 = 74,714.21 : x
  2. Step 2: Convert to fraction form
    149,573.16/224,172.65 = 74,714.21/x
  3. Step 3: Cross multiply
    149,573.16x = 224,172.65 × 74,714.21
  4. Step 4: Simplify right side
    149,573.16x = 16,748,880,953.92
  5. Step 5: Solve for x
    x = 16,748,880,953.92/149,573.16
  6. Step 6: Final answer
    x = 111,977.85

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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.