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Finding the Fourth Proportional to 258,169.86, 356,307.84 and 144,992.64

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Solution

The fourth proportional to 258,169.86, 356,307.84 and 144,992.64 is: 200,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,169.86 : 356,307.84 = 144,992.64 : x
  2. Step 2: Convert to fraction form
    258,169.86/356,307.84 = 144,992.64/x
  3. Step 3: Cross multiply
    258,169.86x = 356,307.84 × 144,992.64
  4. Step 4: Simplify right side
    258,169.86x = 51,662,014,374.30
  5. Step 5: Solve for x
    x = 51,662,014,374.30/258,169.86
  6. Step 6: Final answer
    x = 200,108.62

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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.