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Finding the Fourth Proportional to 189,829, 261,968.58 and 122,877.64

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Solution

The fourth proportional to 189,829, 261,968.58 and 122,877.64 is: 169,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,829 : 261,968.58 = 122,877.64 : x
  2. Step 2: Convert to fraction form
    189,829/261,968.58 = 122,877.64/x
  3. Step 3: Cross multiply
    189,829x = 261,968.58 × 122,877.64
  4. Step 4: Simplify right side
    189,829x = 32,190,080,864.55
  5. Step 5: Solve for x
    x = 32,190,080,864.55/189,829
  6. Step 6: Final answer
    x = 169,574.09

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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.