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Finding the Fourth Proportional to 198,407.94, 273,804.94 and 107,765.67

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Solution

The fourth proportional to 198,407.94, 273,804.94 and 107,765.67 is: 148,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,407.94 : 273,804.94 = 107,765.67 : x
  2. Step 2: Convert to fraction form
    198,407.94/273,804.94 = 107,765.67/x
  3. Step 3: Cross multiply
    198,407.94x = 273,804.94 × 107,765.67
  4. Step 4: Simplify right side
    198,407.94x = 29,506,773,969.89
  5. Step 5: Solve for x
    x = 29,506,773,969.89/198,407.94
  6. Step 6: Final answer
    x = 148,717.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.