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Finding the Fourth Proportional to 208,386.96, 312,580.43 and 96,033.94

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Solution

The fourth proportional to 208,386.96, 312,580.43 and 96,033.94 is: 144,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,386.96 : 312,580.43 = 96,033.94 : x
  2. Step 2: Convert to fraction form
    208,386.96/312,580.43 = 96,033.94/x
  3. Step 3: Cross multiply
    208,386.96x = 312,580.43 × 96,033.94
  4. Step 4: Simplify right side
    208,386.96x = 30,018,328,216.72
  5. Step 5: Solve for x
    x = 30,018,328,216.72/208,386.96
  6. Step 6: Final answer
    x = 144,050.90

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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.