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Finding the Fourth Proportional to 208,386.46, 312,579.68 and 96,033.43

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Solution

The fourth proportional to 208,386.46, 312,579.68 and 96,033.43 is: 144,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,386.46 : 312,579.68 = 96,033.43 : x
  2. Step 2: Convert to fraction form
    208,386.46/312,579.68 = 96,033.43/x
  3. Step 3: Cross multiply
    208,386.46x = 312,579.68 × 96,033.43
  4. Step 4: Simplify right side
    208,386.46x = 30,018,098,818.70
  5. Step 5: Solve for x
    x = 30,018,098,818.70/208,386.46
  6. Step 6: Final answer
    x = 144,050.14

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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.