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Finding the Fourth Proportional to 189,530.32, 261,551.80 and 108,973.60

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Solution

The fourth proportional to 189,530.32, 261,551.80 and 108,973.60 is: 150,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,530.32 : 261,551.80 = 108,973.60 : x
  2. Step 2: Convert to fraction form
    189,530.32/261,551.80 = 108,973.60/x
  3. Step 3: Cross multiply
    189,530.32x = 261,551.80 × 108,973.60
  4. Step 4: Simplify right side
    189,530.32x = 28,502,241,232.48
  5. Step 5: Solve for x
    x = 28,502,241,232.48/189,530.32
  6. Step 6: Final answer
    x = 150,383.54

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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.