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Finding the Fourth Proportional to 140,590.68, 210,888.46 and 51,798.48

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Solution

The fourth proportional to 140,590.68, 210,888.46 and 51,798.48 is: 77,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,590.68 : 210,888.46 = 51,798.48 : x
  2. Step 2: Convert to fraction form
    140,590.68/210,888.46 = 51,798.48/x
  3. Step 3: Cross multiply
    140,590.68x = 210,888.46 × 51,798.48
  4. Step 4: Simplify right side
    140,590.68x = 10,923,701,677.54
  5. Step 5: Solve for x
    x = 10,923,701,677.54/140,590.68
  6. Step 6: Final answer
    x = 77,698.62

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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.