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Finding the Fourth Proportional to 208,419.60, 312,629.40 and 97,827.60

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Solution

The fourth proportional to 208,419.60, 312,629.40 and 97,827.60 is: 146,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,419.60 : 312,629.40 = 97,827.60 : x
  2. Step 2: Convert to fraction form
    208,419.60/312,629.40 = 97,827.60/x
  3. Step 3: Cross multiply
    208,419.60x = 312,629.40 × 97,827.60
  4. Step 4: Simplify right side
    208,419.60x = 30,583,783,891.44
  5. Step 5: Solve for x
    x = 30,583,783,891.44/208,419.60
  6. Step 6: Final answer
    x = 146,741.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.