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Finding the Fourth Proportional to 210,981.98, 291,158.34 and 115,497.56

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Solution

The fourth proportional to 210,981.98, 291,158.34 and 115,497.56 is: 159,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,981.98 : 291,158.34 = 115,497.56 : x
  2. Step 2: Convert to fraction form
    210,981.98/291,158.34 = 115,497.56/x
  3. Step 3: Cross multiply
    210,981.98x = 291,158.34 × 115,497.56
  4. Step 4: Simplify right side
    210,981.98x = 33,628,077,843.65
  5. Step 5: Solve for x
    x = 33,628,077,843.65/210,981.98
  6. Step 6: Final answer
    x = 159,388.39

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Why These Related Problems?

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