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Finding the Fourth Proportional to 109,666.30, 164,171.40 and 96,544.30

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Solution

The fourth proportional to 109,666.30, 164,171.40 and 96,544.30 is: 144,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,666.30 : 164,171.40 = 96,544.30 : x
  2. Step 2: Convert to fraction form
    109,666.30/164,171.40 = 96,544.30/x
  3. Step 3: Cross multiply
    109,666.30x = 164,171.40 × 96,544.30
  4. Step 4: Simplify right side
    109,666.30x = 15,849,812,893.02
  5. Step 5: Solve for x
    x = 15,849,812,893.02/109,666.30
  6. Step 6: Final answer
    x = 144,527.65

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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.