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Finding the Fourth Proportional to 257,083.67, 354,774.53 and 143,906.42

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Solution

The fourth proportional to 257,083.67, 354,774.53 and 143,906.42 is: 198,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,083.67 : 354,774.53 = 143,906.42 : x
  2. Step 2: Convert to fraction form
    257,083.67/354,774.53 = 143,906.42/x
  3. Step 3: Cross multiply
    257,083.67x = 354,774.53 × 143,906.42
  4. Step 4: Simplify right side
    257,083.67x = 51,054,333,766.19
  5. Step 5: Solve for x
    x = 51,054,333,766.19/257,083.67
  6. Step 6: Final answer
    x = 198,590.34

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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.