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Finding the Fourth Proportional to 189,829.40, 261,953.34 and 104,941.40

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Solution

The fourth proportional to 189,829.40, 261,953.34 and 104,941.40 is: 144,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,829.40 : 261,953.34 = 104,941.40 : x
  2. Step 2: Convert to fraction form
    189,829.40/261,953.34 = 104,941.40/x
  3. Step 3: Cross multiply
    189,829.40x = 261,953.34 × 104,941.40
  4. Step 4: Simplify right side
    189,829.40x = 27,489,750,234.28
  5. Step 5: Solve for x
    x = 27,489,750,234.28/189,829.40
  6. Step 6: Final answer
    x = 144,812.92

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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.