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Finding the Fourth Proportional to 189,597.84, 284,221.04 and 71,347.60

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Solution

The fourth proportional to 189,597.84, 284,221.04 and 71,347.60 is: 106,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,597.84 : 284,221.04 = 71,347.60 : x
  2. Step 2: Convert to fraction form
    189,597.84/284,221.04 = 71,347.60/x
  3. Step 3: Cross multiply
    189,597.84x = 284,221.04 × 71,347.60
  4. Step 4: Simplify right side
    189,597.84x = 20,278,489,073.50
  5. Step 5: Solve for x
    x = 20,278,489,073.50/189,597.84
  6. Step 6: Final answer
    x = 106,955.27

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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.