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Finding the Fourth Proportional to 129,026.12, 178,074.42 and 72,441.32

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Solution

The fourth proportional to 129,026.12, 178,074.42 and 72,441.32 is: 99,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,026.12 : 178,074.42 = 72,441.32 : x
  2. Step 2: Convert to fraction form
    129,026.12/178,074.42 = 72,441.32/x
  3. Step 3: Cross multiply
    129,026.12x = 178,074.42 × 72,441.32
  4. Step 4: Simplify right side
    129,026.12x = 12,899,946,043.03
  5. Step 5: Solve for x
    x = 12,899,946,043.03/129,026.12
  6. Step 6: Final answer
    x = 99,979.34

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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.