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Finding the Fourth Proportional to 213,059.10, 319,442.85 and 100,793.10

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Solution

The fourth proportional to 213,059.10, 319,442.85 and 100,793.10 is: 151,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,059.10 : 319,442.85 = 100,793.10 : x
  2. Step 2: Convert to fraction form
    213,059.10/319,442.85 = 100,793.10/x
  3. Step 3: Cross multiply
    213,059.10x = 319,442.85 × 100,793.10
  4. Step 4: Simplify right side
    213,059.10x = 32,197,635,124.34
  5. Step 5: Solve for x
    x = 32,197,635,124.34/213,059.10
  6. Step 6: Final answer
    x = 151,120.68

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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.