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Finding the Fourth Proportional to 193,693.24, 289,914.90 and 100,070.20

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Solution

The fourth proportional to 193,693.24, 289,914.90 and 100,070.20 is: 149,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,693.24 : 289,914.90 = 100,070.20 : x
  2. Step 2: Convert to fraction form
    193,693.24/289,914.90 = 100,070.20/x
  3. Step 3: Cross multiply
    193,693.24x = 289,914.90 × 100,070.20
  4. Step 4: Simplify right side
    193,693.24x = 29,011,842,025.98
  5. Step 5: Solve for x
    x = 29,011,842,025.98/193,693.24
  6. Step 6: Final answer
    x = 149,782.42

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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.