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Finding the Fourth Proportional to 210,869.46, 290,971.17 and 125,968.50

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Solution

The fourth proportional to 210,869.46, 290,971.17 and 125,968.50 is: 173,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,869.46 : 290,971.17 = 125,968.50 : x
  2. Step 2: Convert to fraction form
    210,869.46/290,971.17 = 125,968.50/x
  3. Step 3: Cross multiply
    210,869.46x = 290,971.17 × 125,968.50
  4. Step 4: Simplify right side
    210,869.46x = 36,653,201,828.15
  5. Step 5: Solve for x
    x = 36,653,201,828.15/210,869.46
  6. Step 6: Final answer
    x = 173,819.39

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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.