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Finding the Fourth Proportional to 129,213.40, 178,318.35 and 78,235.45

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Solution

The fourth proportional to 129,213.40, 178,318.35 and 78,235.45 is: 107,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,213.40 : 178,318.35 = 78,235.45 : x
  2. Step 2: Convert to fraction form
    129,213.40/178,318.35 = 78,235.45/x
  3. Step 3: Cross multiply
    129,213.40x = 178,318.35 × 78,235.45
  4. Step 4: Simplify right side
    129,213.40x = 13,950,816,355.51
  5. Step 5: Solve for x
    x = 13,950,816,355.51/129,213.40
  6. Step 6: Final answer
    x = 107,967.26

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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.