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Finding the Fourth Proportional to 189,229.84, 283,898.22 and 56,109.76

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Solution

The fourth proportional to 189,229.84, 283,898.22 and 56,109.76 is: 84,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,229.84 : 283,898.22 = 56,109.76 : x
  2. Step 2: Convert to fraction form
    189,229.84/283,898.22 = 56,109.76/x
  3. Step 3: Cross multiply
    189,229.84x = 283,898.22 × 56,109.76
  4. Step 4: Simplify right side
    189,229.84x = 15,929,460,988.63
  5. Step 5: Solve for x
    x = 15,929,460,988.63/189,229.84
  6. Step 6: Final answer
    x = 84,180.49

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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.