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Finding the Fourth Proportional to 212,331.84, 318,543.84 and 64,584

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Solution

The fourth proportional to 212,331.84, 318,543.84 and 64,584 is: 96,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,331.84 : 318,543.84 = 64,584 : x
  2. Step 2: Convert to fraction form
    212,331.84/318,543.84 = 64,584/x
  3. Step 3: Cross multiply
    212,331.84x = 318,543.84 × 64,584
  4. Step 4: Simplify right side
    212,331.84x = 20,572,835,362.56
  5. Step 5: Solve for x
    x = 20,572,835,362.56/212,331.84
  6. Step 6: Final answer
    x = 96,890.02

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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.