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Finding the Fourth Proportional to 145,193.06, 217,797.80 and 51,698.81

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Solution

The fourth proportional to 145,193.06, 217,797.80 and 51,698.81 is: 77,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,193.06 : 217,797.80 = 51,698.81 : x
  2. Step 2: Convert to fraction form
    145,193.06/217,797.80 = 51,698.81/x
  3. Step 3: Cross multiply
    145,193.06x = 217,797.80 × 51,698.81
  4. Step 4: Simplify right side
    145,193.06x = 11,259,887,366.62
  5. Step 5: Solve for x
    x = 11,259,887,366.62/145,193.06
  6. Step 6: Final answer
    x = 77,551.14

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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.