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Finding the Fourth Proportional to 210,772.71, 290,860.14 and 115,277.34

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Solution

The fourth proportional to 210,772.71, 290,860.14 and 115,277.34 is: 159,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,772.71 : 290,860.14 = 115,277.34 : x
  2. Step 2: Convert to fraction form
    210,772.71/290,860.14 = 115,277.34/x
  3. Step 3: Cross multiply
    210,772.71x = 290,860.14 × 115,277.34
  4. Step 4: Simplify right side
    210,772.71x = 33,529,583,251.23
  5. Step 5: Solve for x
    x = 33,529,583,251.23/210,772.71
  6. Step 6: Final answer
    x = 159,079.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.