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Finding the Fourth Proportional to 198,417.64, 273,818.34 and 107,775.40

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Solution

The fourth proportional to 198,417.64, 273,818.34 and 107,775.40 is: 148,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,417.64 : 273,818.34 = 107,775.40 : x
  2. Step 2: Convert to fraction form
    198,417.64/273,818.34 = 107,775.40/x
  3. Step 3: Cross multiply
    198,417.64x = 273,818.34 × 107,775.40
  4. Step 4: Simplify right side
    198,417.64x = 29,510,881,120.84
  5. Step 5: Solve for x
    x = 29,510,881,120.84/198,417.64
  6. Step 6: Final answer
    x = 148,731.14

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