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Finding the Fourth Proportional to 132,199.42, 182,435.34 and 78,495.16

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Solution

The fourth proportional to 132,199.42, 182,435.34 and 78,495.16 is: 108,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,199.42 : 182,435.34 = 78,495.16 : x
  2. Step 2: Convert to fraction form
    132,199.42/182,435.34 = 78,495.16/x
  3. Step 3: Cross multiply
    132,199.42x = 182,435.34 × 78,495.16
  4. Step 4: Simplify right side
    132,199.42x = 14,320,291,202.95
  5. Step 5: Solve for x
    x = 14,320,291,202.95/132,199.42
  6. Step 6: Final answer
    x = 108,323.40

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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.