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Finding the Fourth Proportional to 210,939.80, 291,097.40 and 115,452.63

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Solution

The fourth proportional to 210,939.80, 291,097.40 and 115,452.63 is: 159,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,939.80 : 291,097.40 = 115,452.63 : x
  2. Step 2: Convert to fraction form
    210,939.80/291,097.40 = 115,452.63/x
  3. Step 3: Cross multiply
    210,939.80x = 291,097.40 × 115,452.63
  4. Step 4: Simplify right side
    210,939.80x = 33,607,959,838.90
  5. Step 5: Solve for x
    x = 33,607,959,838.90/210,939.80
  6. Step 6: Final answer
    x = 159,324.89

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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.