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Finding the Fourth Proportional to 189,180.95, 260,922 and 121,204.23

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Solution

The fourth proportional to 189,180.95, 260,922 and 121,204.23 is: 167,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,180.95 : 260,922 = 121,204.23 : x
  2. Step 2: Convert to fraction form
    189,180.95/260,922 = 121,204.23/x
  3. Step 3: Cross multiply
    189,180.95x = 260,922 × 121,204.23
  4. Step 4: Simplify right side
    189,180.95x = 31,624,850,100.06
  5. Step 5: Solve for x
    x = 31,624,850,100.06/189,180.95
  6. Step 6: Final answer
    x = 167,167.21

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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.