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Finding the Fourth Proportional to 154,062.56, 231,047.94 and 65,314.64

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Solution

The fourth proportional to 154,062.56, 231,047.94 and 65,314.64 is: 97,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,062.56 : 231,047.94 = 65,314.64 : x
  2. Step 2: Convert to fraction form
    154,062.56/231,047.94 = 65,314.64/x
  3. Step 3: Cross multiply
    154,062.56x = 231,047.94 × 65,314.64
  4. Step 4: Simplify right side
    154,062.56x = 15,090,813,023.84
  5. Step 5: Solve for x
    x = 15,090,813,023.84/154,062.56
  6. Step 6: Final answer
    x = 97,952.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.