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Finding the Fourth Proportional to 210,461.53, 290,443.29 and 114,974.37

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Solution

The fourth proportional to 210,461.53, 290,443.29 and 114,974.37 is: 158,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,461.53 : 290,443.29 = 114,974.37 : x
  2. Step 2: Convert to fraction form
    210,461.53/290,443.29 = 114,974.37/x
  3. Step 3: Cross multiply
    210,461.53x = 290,443.29 × 114,974.37
  4. Step 4: Simplify right side
    210,461.53x = 33,393,534,288.48
  5. Step 5: Solve for x
    x = 33,393,534,288.48/210,461.53
  6. Step 6: Final answer
    x = 158,668.12

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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.