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Finding the Fourth Proportional to 261,243.57, 391,976.30 and 142,776.51

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Solution

The fourth proportional to 261,243.57, 391,976.30 and 142,776.51 is: 214,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,243.57 : 391,976.30 = 142,776.51 : x
  2. Step 2: Convert to fraction form
    261,243.57/391,976.30 = 142,776.51/x
  3. Step 3: Cross multiply
    261,243.57x = 391,976.30 × 142,776.51
  4. Step 4: Simplify right side
    261,243.57x = 55,965,008,116.71
  5. Step 5: Solve for x
    x = 55,965,008,116.71/261,243.57
  6. Step 6: Final answer
    x = 214,225.40

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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.