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Finding the Fourth Proportional to 136,213, 204,319.50 and 37,717

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Solution

The fourth proportional to 136,213, 204,319.50 and 37,717 is: 56,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,213 : 204,319.50 = 37,717 : x
  2. Step 2: Convert to fraction form
    136,213/204,319.50 = 37,717/x
  3. Step 3: Cross multiply
    136,213x = 204,319.50 × 37,717
  4. Step 4: Simplify right side
    136,213x = 7,706,318,581.50
  5. Step 5: Solve for x
    x = 7,706,318,581.50/136,213
  6. Step 6: Final answer
    x = 56,575.50

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Why These Related Problems?

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