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Finding the Fourth Proportional to 223,474.32, 335,165.76 and 65,660.40

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Solution

The fourth proportional to 223,474.32, 335,165.76 and 65,660.40 is: 98,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,474.32 : 335,165.76 = 65,660.40 : x
  2. Step 2: Convert to fraction form
    223,474.32/335,165.76 = 65,660.40/x
  3. Step 3: Cross multiply
    223,474.32x = 335,165.76 × 65,660.40
  4. Step 4: Simplify right side
    223,474.32x = 22,007,117,867.90
  5. Step 5: Solve for x
    x = 22,007,117,867.90/223,474.32
  6. Step 6: Final answer
    x = 98,477.17

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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.