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Finding the Fourth Proportional to 129,111.32, 178,190.33 and 72,522.68

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Solution

The fourth proportional to 129,111.32, 178,190.33 and 72,522.68 is: 100,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,111.32 : 178,190.33 = 72,522.68 : x
  2. Step 2: Convert to fraction form
    129,111.32/178,190.33 = 72,522.68/x
  3. Step 3: Cross multiply
    129,111.32x = 178,190.33 × 72,522.68
  4. Step 4: Simplify right side
    129,111.32x = 12,922,840,281.68
  5. Step 5: Solve for x
    x = 12,922,840,281.68/129,111.32
  6. Step 6: Final answer
    x = 100,090.68

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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.