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Finding the Fourth Proportional to 231,242.94, 346,856.49 and 98,037.42

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Solution

The fourth proportional to 231,242.94, 346,856.49 and 98,037.42 is: 147,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,242.94 : 346,856.49 = 98,037.42 : x
  2. Step 2: Convert to fraction form
    231,242.94/346,856.49 = 98,037.42/x
  3. Step 3: Cross multiply
    231,242.94x = 346,856.49 × 98,037.42
  4. Step 4: Simplify right side
    231,242.94x = 34,004,915,389.86
  5. Step 5: Solve for x
    x = 34,004,915,389.86/231,242.94
  6. Step 6: Final answer
    x = 147,052.77

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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.