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Finding the Fourth Proportional to 189,254.90, 261,172.01 and 103,214.07

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Solution

The fourth proportional to 189,254.90, 261,172.01 and 103,214.07 is: 142,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,254.90 : 261,172.01 = 103,214.07 : x
  2. Step 2: Convert to fraction form
    189,254.90/261,172.01 = 103,214.07/x
  3. Step 3: Cross multiply
    189,254.90x = 261,172.01 × 103,214.07
  4. Step 4: Simplify right side
    189,254.90x = 26,956,626,380.22
  5. Step 5: Solve for x
    x = 26,956,626,380.22/189,254.90
  6. Step 6: Final answer
    x = 142,435.55

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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.