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Finding the Fourth Proportional to 261,998.96, 361,558.48 and 142,766.96

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Solution

The fourth proportional to 261,998.96, 361,558.48 and 142,766.96 is: 197,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,998.96 : 361,558.48 = 142,766.96 : x
  2. Step 2: Convert to fraction form
    261,998.96/361,558.48 = 142,766.96/x
  3. Step 3: Cross multiply
    261,998.96x = 361,558.48 × 142,766.96
  4. Step 4: Simplify right side
    261,998.96x = 51,618,605,051.82
  5. Step 5: Solve for x
    x = 51,618,605,051.82/261,998.96
  6. Step 6: Final answer
    x = 197,018.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.