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Finding the Fourth Proportional to 178,495.70, 246,321.96 and 97,923.84

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Solution

The fourth proportional to 178,495.70, 246,321.96 and 97,923.84 is: 135,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,495.70 : 246,321.96 = 97,923.84 : x
  2. Step 2: Convert to fraction form
    178,495.70/246,321.96 = 97,923.84/x
  3. Step 3: Cross multiply
    178,495.70x = 246,321.96 × 97,923.84
  4. Step 4: Simplify right side
    178,495.70x = 24,120,792,199.53
  5. Step 5: Solve for x
    x = 24,120,792,199.53/178,495.70
  6. Step 6: Final answer
    x = 135,133.74

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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.