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Finding the Fourth Proportional to 193,091.80, 289,637.70 and 114,165.40

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Solution

The fourth proportional to 193,091.80, 289,637.70 and 114,165.40 is: 171,248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,091.80 : 289,637.70 = 114,165.40 : x
  2. Step 2: Convert to fraction form
    193,091.80/289,637.70 = 114,165.40/x
  3. Step 3: Cross multiply
    193,091.80x = 289,637.70 × 114,165.40
  4. Step 4: Simplify right side
    193,091.80x = 33,066,603,875.58
  5. Step 5: Solve for x
    x = 33,066,603,875.58/193,091.80
  6. Step 6: Final answer
    x = 171,248.10

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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.