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Finding the Fourth Proportional to 210,211, 290,097.30 and 114,723.80

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Solution

The fourth proportional to 210,211, 290,097.30 and 114,723.80 is: 158,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,211 : 290,097.30 = 114,723.80 : x
  2. Step 2: Convert to fraction form
    210,211/290,097.30 = 114,723.80/x
  3. Step 3: Cross multiply
    210,211x = 290,097.30 × 114,723.80
  4. Step 4: Simplify right side
    210,211x = 33,281,064,625.74
  5. Step 5: Solve for x
    x = 33,281,064,625.74/210,211
  6. Step 6: Final answer
    x = 158,322.18

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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.