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Finding the Fourth Proportional to 197,784.30, 296,714.64 and 64,628.64

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Solution

The fourth proportional to 197,784.30, 296,714.64 and 64,628.64 is: 96,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,784.30 : 296,714.64 = 64,628.64 : x
  2. Step 2: Convert to fraction form
    197,784.30/296,714.64 = 64,628.64/x
  3. Step 3: Cross multiply
    197,784.30x = 296,714.64 × 64,628.64
  4. Step 4: Simplify right side
    197,784.30x = 19,176,263,651.29
  5. Step 5: Solve for x
    x = 19,176,263,651.29/197,784.30
  6. Step 6: Final answer
    x = 96,955.44

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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.