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Finding the Fourth Proportional to 111,211.44, 152,974.08 and 97,532.16

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Solution

The fourth proportional to 111,211.44, 152,974.08 and 97,532.16 is: 134,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,211.44 : 152,974.08 = 97,532.16 : x
  2. Step 2: Convert to fraction form
    111,211.44/152,974.08 = 97,532.16/x
  3. Step 3: Cross multiply
    111,211.44x = 152,974.08 × 97,532.16
  4. Step 4: Simplify right side
    111,211.44x = 14,919,892,446.41
  5. Step 5: Solve for x
    x = 14,919,892,446.41/111,211.44
  6. Step 6: Final answer
    x = 134,157.89

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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.