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Finding the Fourth Proportional to 238,369.50, 357,478.32 and 78,408.84

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Solution

The fourth proportional to 238,369.50, 357,478.32 and 78,408.84 is: 117,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,369.50 : 357,478.32 = 78,408.84 : x
  2. Step 2: Convert to fraction form
    238,369.50/357,478.32 = 78,408.84/x
  3. Step 3: Cross multiply
    238,369.50x = 357,478.32 × 78,408.84
  4. Step 4: Simplify right side
    238,369.50x = 28,029,460,396.35
  5. Step 5: Solve for x
    x = 28,029,460,396.35/238,369.50
  6. Step 6: Final answer
    x = 117,588.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.