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Finding the Fourth Proportional to 210,159.33, 290,020.82 and 114,668.03

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Solution

The fourth proportional to 210,159.33, 290,020.82 and 114,668.03 is: 158,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,159.33 : 290,020.82 = 114,668.03 : x
  2. Step 2: Convert to fraction form
    210,159.33/290,020.82 = 114,668.03/x
  3. Step 3: Cross multiply
    210,159.33x = 290,020.82 × 114,668.03
  4. Step 4: Simplify right side
    210,159.33x = 33,256,114,064.94
  5. Step 5: Solve for x
    x = 33,256,114,064.94/210,159.33
  6. Step 6: Final answer
    x = 158,242.39

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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.