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Finding the Fourth Proportional to 212,028.30, 317,613.06 and 98,014.14

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Solution

The fourth proportional to 212,028.30, 317,613.06 and 98,014.14 is: 146,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,028.30 : 317,613.06 = 98,014.14 : x
  2. Step 2: Convert to fraction form
    212,028.30/317,613.06 = 98,014.14/x
  3. Step 3: Cross multiply
    212,028.30x = 317,613.06 × 98,014.14
  4. Step 4: Simplify right side
    212,028.30x = 31,130,570,928.67
  5. Step 5: Solve for x
    x = 31,130,570,928.67/212,028.30
  6. Step 6: Final answer
    x = 146,822.72

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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.