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Finding the Fourth Proportional to 205,009.40, 307,463.06 and 71,894

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Solution

The fourth proportional to 205,009.40, 307,463.06 and 71,894 is: 107,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,009.40 : 307,463.06 = 71,894 : x
  2. Step 2: Convert to fraction form
    205,009.40/307,463.06 = 71,894/x
  3. Step 3: Cross multiply
    205,009.40x = 307,463.06 × 71,894
  4. Step 4: Simplify right side
    205,009.40x = 22,104,749,235.64
  5. Step 5: Solve for x
    x = 22,104,749,235.64/205,009.40
  6. Step 6: Final answer
    x = 107,823.10

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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.