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Finding the Fourth Proportional to 224,172.53, 336,025.24 and 97,778.84

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Solution

The fourth proportional to 224,172.53, 336,025.24 and 97,778.84 is: 146,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,172.53 : 336,025.24 = 97,778.84 : x
  2. Step 2: Convert to fraction form
    224,172.53/336,025.24 = 97,778.84/x
  3. Step 3: Cross multiply
    224,172.53x = 336,025.24 × 97,778.84
  4. Step 4: Simplify right side
    224,172.53x = 32,856,157,880.11
  5. Step 5: Solve for x
    x = 32,856,157,880.11/224,172.53
  6. Step 6: Final answer
    x = 146,566.39

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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.