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Finding the Fourth Proportional to 208,730.60, 312,839.10 and 96,254.60

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Solution

The fourth proportional to 208,730.60, 312,839.10 and 96,254.60 is: 144,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,730.60 : 312,839.10 = 96,254.60 : x
  2. Step 2: Convert to fraction form
    208,730.60/312,839.10 = 96,254.60/x
  3. Step 3: Cross multiply
    208,730.60x = 312,839.10 × 96,254.60
  4. Step 4: Simplify right side
    208,730.60x = 30,112,202,434.86
  5. Step 5: Solve for x
    x = 30,112,202,434.86/208,730.60
  6. Step 6: Final answer
    x = 144,263.48

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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.