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Finding the Fourth Proportional to 210,473.87, 290,454.14 and 114,982.16

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Solution

The fourth proportional to 210,473.87, 290,454.14 and 114,982.16 is: 158,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,473.87 : 290,454.14 = 114,982.16 : x
  2. Step 2: Convert to fraction form
    210,473.87/290,454.14 = 114,982.16/x
  3. Step 3: Cross multiply
    210,473.87x = 290,454.14 × 114,982.16
  4. Step 4: Simplify right side
    210,473.87x = 33,397,043,823.23
  5. Step 5: Solve for x
    x = 33,397,043,823.23/210,473.87
  6. Step 6: Final answer
    x = 158,675.49

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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.