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Finding the Fourth Proportional to 197,463.86, 296,212.64 and 69,368.96

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Solution

The fourth proportional to 197,463.86, 296,212.64 and 69,368.96 is: 104,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,463.86 : 296,212.64 = 69,368.96 : x
  2. Step 2: Convert to fraction form
    197,463.86/296,212.64 = 69,368.96/x
  3. Step 3: Cross multiply
    197,463.86x = 296,212.64 × 69,368.96
  4. Step 4: Simplify right side
    197,463.86x = 20,547,962,775.65
  5. Step 5: Solve for x
    x = 20,547,962,775.65/197,463.86
  6. Step 6: Final answer
    x = 104,059.36

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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.