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Finding the Fourth Proportional to 210,454.47, 290,422.40 and 114,961.59

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Solution

The fourth proportional to 210,454.47, 290,422.40 and 114,961.59 is: 158,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,454.47 : 290,422.40 = 114,961.59 : x
  2. Step 2: Convert to fraction form
    210,454.47/290,422.40 = 114,961.59/x
  3. Step 3: Cross multiply
    210,454.47x = 290,422.40 × 114,961.59
  4. Step 4: Simplify right side
    210,454.47x = 33,387,420,300.81
  5. Step 5: Solve for x
    x = 33,387,420,300.81/210,454.47
  6. Step 6: Final answer
    x = 158,644.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.