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Finding the Fourth Proportional to 189,541, 261,566.58 and 114,104.08

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Solution

The fourth proportional to 189,541, 261,566.58 and 114,104.08 is: 157,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,541 : 261,566.58 = 114,104.08 : x
  2. Step 2: Convert to fraction form
    189,541/261,566.58 = 114,104.08/x
  3. Step 3: Cross multiply
    189,541x = 261,566.58 × 114,104.08
  4. Step 4: Simplify right side
    189,541x = 29,845,813,969.65
  5. Step 5: Solve for x
    x = 29,845,813,969.65/189,541
  6. Step 6: Final answer
    x = 157,463.63

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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.