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Finding the Fourth Proportional to 192,693.48, 288,666.14 and 142,000.48

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Solution

The fourth proportional to 192,693.48, 288,666.14 and 142,000.48 is: 212,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,693.48 : 288,666.14 = 142,000.48 : x
  2. Step 2: Convert to fraction form
    192,693.48/288,666.14 = 142,000.48/x
  3. Step 3: Cross multiply
    192,693.48x = 288,666.14 × 142,000.48
  4. Step 4: Simplify right side
    192,693.48x = 40,990,730,439.75
  5. Step 5: Solve for x
    x = 40,990,730,439.75/192,693.48
  6. Step 6: Final answer
    x = 212,725.05

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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.