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Finding the Fourth Proportional to 211,243.84, 291,407.46 and 143,237.80

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Solution

The fourth proportional to 211,243.84, 291,407.46 and 143,237.80 is: 197,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,243.84 : 291,407.46 = 143,237.80 : x
  2. Step 2: Convert to fraction form
    211,243.84/291,407.46 = 143,237.80/x
  3. Step 3: Cross multiply
    211,243.84x = 291,407.46 × 143,237.80
  4. Step 4: Simplify right side
    211,243.84x = 41,740,563,473.99
  5. Step 5: Solve for x
    x = 41,740,563,473.99/211,243.84
  6. Step 6: Final answer
    x = 197,594.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.