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Finding the Fourth Proportional to 212,136.24, 317,774.56 and 98,122

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Solution

The fourth proportional to 212,136.24, 317,774.56 and 98,122 is: 146,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,136.24 : 317,774.56 = 98,122 : x
  2. Step 2: Convert to fraction form
    212,136.24/317,774.56 = 98,122/x
  3. Step 3: Cross multiply
    212,136.24x = 317,774.56 × 98,122
  4. Step 4: Simplify right side
    212,136.24x = 31,180,675,376.32
  5. Step 5: Solve for x
    x = 31,180,675,376.32/212,136.24
  6. Step 6: Final answer
    x = 146,984.20

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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.