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Finding the Fourth Proportional to 210,986.84, 291,136.05 and 168,075.60

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Solution

The fourth proportional to 210,986.84, 291,136.05 and 168,075.60 is: 231,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,986.84 : 291,136.05 = 168,075.60 : x
  2. Step 2: Convert to fraction form
    210,986.84/291,136.05 = 168,075.60/x
  3. Step 3: Cross multiply
    210,986.84x = 291,136.05 × 168,075.60
  4. Step 4: Simplify right side
    210,986.84x = 48,932,866,285.38
  5. Step 5: Solve for x
    x = 48,932,866,285.38/210,986.84
  6. Step 6: Final answer
    x = 231,923.79

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Why These Related Problems?

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