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Finding the Fourth Proportional to 212,114.16, 317,741.58 and 98,100

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Solution

The fourth proportional to 212,114.16, 317,741.58 and 98,100 is: 146,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,114.16 : 317,741.58 = 98,100 : x
  2. Step 2: Convert to fraction form
    212,114.16/317,741.58 = 98,100/x
  3. Step 3: Cross multiply
    212,114.16x = 317,741.58 × 98,100
  4. Step 4: Simplify right side
    212,114.16x = 31,170,448,998
  5. Step 5: Solve for x
    x = 31,170,448,998/212,114.16
  6. Step 6: Final answer
    x = 146,951.29

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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.