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Finding the Fourth Proportional to 210,844.86, 290,972.80 and 115,349.34

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Solution

The fourth proportional to 210,844.86, 290,972.80 and 115,349.34 is: 159,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,844.86 : 290,972.80 = 115,349.34 : x
  2. Step 2: Convert to fraction form
    210,844.86/290,972.80 = 115,349.34/x
  3. Step 3: Cross multiply
    210,844.86x = 290,972.80 × 115,349.34
  4. Step 4: Simplify right side
    210,844.86x = 33,563,518,694.71
  5. Step 5: Solve for x
    x = 33,563,518,694.71/210,844.86
  6. Step 6: Final answer
    x = 159,185.86

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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.