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Finding the Fourth Proportional to 196,464, 294,717.76 and 70,133.68

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Solution

The fourth proportional to 196,464, 294,717.76 and 70,133.68 is: 105,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,464 : 294,717.76 = 70,133.68 : x
  2. Step 2: Convert to fraction form
    196,464/294,717.76 = 70,133.68/x
  3. Step 3: Cross multiply
    196,464x = 294,717.76 × 70,133.68
  4. Step 4: Simplify right side
    196,464x = 20,669,641,070.16
  5. Step 5: Solve for x
    x = 20,669,641,070.16/196,464
  6. Step 6: Final answer
    x = 105,208.29

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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.