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Finding the Fourth Proportional to 129,298.34, 178,410.93 and 72,706.34

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Solution

The fourth proportional to 129,298.34, 178,410.93 and 72,706.34 is: 100,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,298.34 : 178,410.93 = 72,706.34 : x
  2. Step 2: Convert to fraction form
    129,298.34/178,410.93 = 72,706.34/x
  3. Step 3: Cross multiply
    129,298.34x = 178,410.93 × 72,706.34
  4. Step 4: Simplify right side
    129,298.34x = 12,971,605,736.30
  5. Step 5: Solve for x
    x = 12,971,605,736.30/129,298.34
  6. Step 6: Final answer
    x = 100,323.06

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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.