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Finding the Fourth Proportional to 189,432.66, 283,285.76 and 141,434.84

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Solution

The fourth proportional to 189,432.66, 283,285.76 and 141,434.84 is: 211,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,432.66 : 283,285.76 = 141,434.84 : x
  2. Step 2: Convert to fraction form
    189,432.66/283,285.76 = 141,434.84/x
  3. Step 3: Cross multiply
    189,432.66x = 283,285.76 × 141,434.84
  4. Step 4: Simplify right side
    189,432.66x = 40,066,477,334.28
  5. Step 5: Solve for x
    x = 40,066,477,334.28/189,432.66
  6. Step 6: Final answer
    x = 211,507.76

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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.