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Finding the Fourth Proportional to 210,263.84, 290,161.68 and 114,769.76

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Solution

The fourth proportional to 210,263.84, 290,161.68 and 114,769.76 is: 158,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,263.84 : 290,161.68 = 114,769.76 : x
  2. Step 2: Convert to fraction form
    210,263.84/290,161.68 = 114,769.76/x
  3. Step 3: Cross multiply
    210,263.84x = 290,161.68 × 114,769.76
  4. Step 4: Simplify right side
    210,263.84x = 33,301,786,374.80
  5. Step 5: Solve for x
    x = 33,301,786,374.80/210,263.84
  6. Step 6: Final answer
    x = 158,380.95

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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.