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Finding the Fourth Proportional to 311,860.83, 467,802.93 and 141,050.06

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Solution

The fourth proportional to 311,860.83, 467,802.93 and 141,050.06 is: 211,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,860.83 : 467,802.93 = 141,050.06 : x
  2. Step 2: Convert to fraction form
    311,860.83/467,802.93 = 141,050.06/x
  3. Step 3: Cross multiply
    311,860.83x = 467,802.93 × 141,050.06
  4. Step 4: Simplify right side
    311,860.83x = 65,983,629,005.66
  5. Step 5: Solve for x
    x = 65,983,629,005.66/311,860.83
  6. Step 6: Final answer
    x = 211,580.37

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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.