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Finding the Fourth Proportional to 97,015.40, 145,523.10 and 65,911.40

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Solution

The fourth proportional to 97,015.40, 145,523.10 and 65,911.40 is: 98,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,015.40 : 145,523.10 = 65,911.40 : x
  2. Step 2: Convert to fraction form
    97,015.40/145,523.10 = 65,911.40/x
  3. Step 3: Cross multiply
    97,015.40x = 145,523.10 × 65,911.40
  4. Step 4: Simplify right side
    97,015.40x = 9,591,631,253.34
  5. Step 5: Solve for x
    x = 9,591,631,253.34/97,015.40
  6. Step 6: Final answer
    x = 98,867.10

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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.