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Finding the Fourth Proportional to 231,200.30, 346,798.82 and 118,911.82

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Solution

The fourth proportional to 231,200.30, 346,798.82 and 118,911.82 is: 178,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,200.30 : 346,798.82 = 118,911.82 : x
  2. Step 2: Convert to fraction form
    231,200.30/346,798.82 = 118,911.82/x
  3. Step 3: Cross multiply
    231,200.30x = 346,798.82 × 118,911.82
  4. Step 4: Simplify right side
    231,200.30x = 41,238,478,860.05
  5. Step 5: Solve for x
    x = 41,238,478,860.05/231,200.30
  6. Step 6: Final answer
    x = 178,366.89

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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.