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Finding the Fourth Proportional to 168,706.14, 232,814.70 and 97,084.86

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Solution

The fourth proportional to 168,706.14, 232,814.70 and 97,084.86 is: 133,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,706.14 : 232,814.70 = 97,084.86 : x
  2. Step 2: Convert to fraction form
    168,706.14/232,814.70 = 97,084.86/x
  3. Step 3: Cross multiply
    168,706.14x = 232,814.70 × 97,084.86
  4. Step 4: Simplify right side
    168,706.14x = 22,602,782,555.44
  5. Step 5: Solve for x
    x = 22,602,782,555.44/168,706.14
  6. Step 6: Final answer
    x = 133,977.24

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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.