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Finding the Fourth Proportional to 102,214.08, 153,344.16 and 31,143.04

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Solution

The fourth proportional to 102,214.08, 153,344.16 and 31,143.04 is: 46,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,214.08 : 153,344.16 = 31,143.04 : x
  2. Step 2: Convert to fraction form
    102,214.08/153,344.16 = 31,143.04/x
  3. Step 3: Cross multiply
    102,214.08x = 153,344.16 × 31,143.04
  4. Step 4: Simplify right side
    102,214.08x = 4,775,603,308.65
  5. Step 5: Solve for x
    x = 4,775,603,308.65/102,214.08
  6. Step 6: Final answer
    x = 46,721.58

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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.