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Finding the Fourth Proportional to 224,144.12, 336,372.10 and 97,719.32

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Solution

The fourth proportional to 224,144.12, 336,372.10 and 97,719.32 is: 146,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,144.12 : 336,372.10 = 97,719.32 : x
  2. Step 2: Convert to fraction form
    224,144.12/336,372.10 = 97,719.32/x
  3. Step 3: Cross multiply
    224,144.12x = 336,372.10 × 97,719.32
  4. Step 4: Simplify right side
    224,144.12x = 32,870,052,878.97
  5. Step 5: Solve for x
    x = 32,870,052,878.97/224,144.12
  6. Step 6: Final answer
    x = 146,646.96

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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.