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Finding the Fourth Proportional to 102,144, 140,858.04 and 96,239.04

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Solution

The fourth proportional to 102,144, 140,858.04 and 96,239.04 is: 132,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144 : 140,858.04 = 96,239.04 : x
  2. Step 2: Convert to fraction form
    102,144/140,858.04 = 96,239.04/x
  3. Step 3: Cross multiply
    102,144x = 140,858.04 × 96,239.04
  4. Step 4: Simplify right side
    102,144x = 13,556,042,545.88
  5. Step 5: Solve for x
    x = 13,556,042,545.88/102,144
  6. Step 6: Final answer
    x = 132,715.02

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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.