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Finding the Fourth Proportional to 201,598, 301,658.82 and 190,783.42

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Solution

The fourth proportional to 201,598, 301,658.82 and 190,783.42 is: 285,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,598 : 301,658.82 = 190,783.42 : x
  2. Step 2: Convert to fraction form
    201,598/301,658.82 = 190,783.42/x
  3. Step 3: Cross multiply
    201,598x = 301,658.82 × 190,783.42
  4. Step 4: Simplify right side
    201,598x = 57,551,501,352.76
  5. Step 5: Solve for x
    x = 57,551,501,352.76/201,598
  6. Step 6: Final answer
    x = 285,476.55

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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.