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Finding the Fourth Proportional to 210,472.48, 290,472 and 114,993.52

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Solution

The fourth proportional to 210,472.48, 290,472 and 114,993.52 is: 158,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,472.48 : 290,472 = 114,993.52 : x
  2. Step 2: Convert to fraction form
    210,472.48/290,472 = 114,993.52/x
  3. Step 3: Cross multiply
    210,472.48x = 290,472 × 114,993.52
  4. Step 4: Simplify right side
    210,472.48x = 33,402,397,741.44
  5. Step 5: Solve for x
    x = 33,402,397,741.44/210,472.48
  6. Step 6: Final answer
    x = 158,701.97

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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.