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Finding the Fourth Proportional to 102,952.20, 154,428.30 and 71,459.40

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Solution

The fourth proportional to 102,952.20, 154,428.30 and 71,459.40 is: 107,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,952.20 : 154,428.30 = 71,459.40 : x
  2. Step 2: Convert to fraction form
    102,952.20/154,428.30 = 71,459.40/x
  3. Step 3: Cross multiply
    102,952.20x = 154,428.30 × 71,459.40
  4. Step 4: Simplify right side
    102,952.20x = 11,035,353,661.02
  5. Step 5: Solve for x
    x = 11,035,353,661.02/102,952.20
  6. Step 6: Final answer
    x = 107,189.10

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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.