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Finding the Fourth Proportional to 210,338.72, 290,264.16 and 114,843.38

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Solution

The fourth proportional to 210,338.72, 290,264.16 and 114,843.38 is: 158,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,338.72 : 290,264.16 = 114,843.38 : x
  2. Step 2: Convert to fraction form
    210,338.72/290,264.16 = 114,843.38/x
  3. Step 3: Cross multiply
    210,338.72x = 290,264.16 × 114,843.38
  4. Step 4: Simplify right side
    210,338.72x = 33,334,917,227.26
  5. Step 5: Solve for x
    x = 33,334,917,227.26/210,338.72
  6. Step 6: Final answer
    x = 158,482.08

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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.