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Finding the Fourth Proportional to 207,904.18, 311,894.73 and 65,785.24

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Solution

The fourth proportional to 207,904.18, 311,894.73 and 65,785.24 is: 98,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,904.18 : 311,894.73 = 65,785.24 : x
  2. Step 2: Convert to fraction form
    207,904.18/311,894.73 = 65,785.24/x
  3. Step 3: Cross multiply
    207,904.18x = 311,894.73 × 65,785.24
  4. Step 4: Simplify right side
    207,904.18x = 20,518,069,667.79
  5. Step 5: Solve for x
    x = 20,518,069,667.79/207,904.18
  6. Step 6: Final answer
    x = 98,690.03

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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.