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Finding the Fourth Proportional to 189,674.59, 284,266.62 and 141,914.96

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Solution

The fourth proportional to 189,674.59, 284,266.62 and 141,914.96 is: 212,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,674.59 : 284,266.62 = 141,914.96 : x
  2. Step 2: Convert to fraction form
    189,674.59/284,266.62 = 141,914.96/x
  3. Step 3: Cross multiply
    189,674.59x = 284,266.62 × 141,914.96
  4. Step 4: Simplify right side
    189,674.59x = 40,341,686,006.64
  5. Step 5: Solve for x
    x = 40,341,686,006.64/189,674.59
  6. Step 6: Final answer
    x = 212,688.93

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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.