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Finding the Fourth Proportional to 113,097, 169,645.50 and 34,209.48

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Solution

The fourth proportional to 113,097, 169,645.50 and 34,209.48 is: 51,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,097 : 169,645.50 = 34,209.48 : x
  2. Step 2: Convert to fraction form
    113,097/169,645.50 = 34,209.48/x
  3. Step 3: Cross multiply
    113,097x = 169,645.50 × 34,209.48
  4. Step 4: Simplify right side
    113,097x = 5,803,484,339.34
  5. Step 5: Solve for x
    x = 5,803,484,339.34/113,097
  6. Step 6: Final answer
    x = 51,314.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.