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Finding the Fourth Proportional to 212,333.84, 318,546.84 and 64,586

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Solution

The fourth proportional to 212,333.84, 318,546.84 and 64,586 is: 96,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,333.84 : 318,546.84 = 64,586 : x
  2. Step 2: Convert to fraction form
    212,333.84/318,546.84 = 64,586/x
  3. Step 3: Cross multiply
    212,333.84x = 318,546.84 × 64,586
  4. Step 4: Simplify right side
    212,333.84x = 20,573,666,208.24
  5. Step 5: Solve for x
    x = 20,573,666,208.24/212,333.84
  6. Step 6: Final answer
    x = 96,893.02

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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.