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Finding the Fourth Proportional to 189,792.50, 261,734.63 and 121,830.26

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Solution

The fourth proportional to 189,792.50, 261,734.63 and 121,830.26 is: 168,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,792.50 : 261,734.63 = 121,830.26 : x
  2. Step 2: Convert to fraction form
    189,792.50/261,734.63 = 121,830.26/x
  3. Step 3: Cross multiply
    189,792.50x = 261,734.63 × 121,830.26
  4. Step 4: Simplify right side
    189,792.50x = 31,887,196,106.08
  5. Step 5: Solve for x
    x = 31,887,196,106.08/189,792.50
  6. Step 6: Final answer
    x = 168,010.84

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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.