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Finding the Fourth Proportional to 205,798.65, 308,096.55 and 146,749.65

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Solution

The fourth proportional to 205,798.65, 308,096.55 and 146,749.65 is: 219,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,798.65 : 308,096.55 = 146,749.65 : x
  2. Step 2: Convert to fraction form
    205,798.65/308,096.55 = 146,749.65/x
  3. Step 3: Cross multiply
    205,798.65x = 308,096.55 × 146,749.65
  4. Step 4: Simplify right side
    205,798.65x = 45,213,060,878.71
  5. Step 5: Solve for x
    x = 45,213,060,878.71/205,798.65
  6. Step 6: Final answer
    x = 219,695.61

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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.