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Finding the Fourth Proportional to 207,132.64, 286,022.40 and 196,504

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Solution

The fourth proportional to 207,132.64, 286,022.40 and 196,504 is: 271,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,132.64 : 286,022.40 = 196,504 : x
  2. Step 2: Convert to fraction form
    207,132.64/286,022.40 = 196,504/x
  3. Step 3: Cross multiply
    207,132.64x = 286,022.40 × 196,504
  4. Step 4: Simplify right side
    207,132.64x = 56,204,545,689.60
  5. Step 5: Solve for x
    x = 56,204,545,689.60/207,132.64
  6. Step 6: Final answer
    x = 271,345.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.