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Finding the Fourth Proportional to 196,000.40, 294,000.60 and 77,632.40

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Solution

The fourth proportional to 196,000.40, 294,000.60 and 77,632.40 is: 116,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,000.40 : 294,000.60 = 77,632.40 : x
  2. Step 2: Convert to fraction form
    196,000.40/294,000.60 = 77,632.40/x
  3. Step 3: Cross multiply
    196,000.40x = 294,000.60 × 77,632.40
  4. Step 4: Simplify right side
    196,000.40x = 22,823,972,179.44
  5. Step 5: Solve for x
    x = 22,823,972,179.44/196,000.40
  6. Step 6: Final answer
    x = 116,448.60

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1.5x scale

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.