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Finding the Fourth Proportional to 255,261, 382,222.62 and 179,973.66

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Solution

The fourth proportional to 255,261, 382,222.62 and 179,973.66 is: 269,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,261 : 382,222.62 = 179,973.66 : x
  2. Step 2: Convert to fraction form
    255,261/382,222.62 = 179,973.66/x
  3. Step 3: Cross multiply
    255,261x = 382,222.62 × 179,973.66
  4. Step 4: Simplify right side
    255,261x = 68,790,003,856.19
  5. Step 5: Solve for x
    x = 68,790,003,856.19/255,261
  6. Step 6: Final answer
    x = 269,488.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.