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Finding the Fourth Proportional to 201,662.10, 302,493.15 and 186,455.70

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Solution

The fourth proportional to 201,662.10, 302,493.15 and 186,455.70 is: 279,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662.10 : 302,493.15 = 186,455.70 : x
  2. Step 2: Convert to fraction form
    201,662.10/302,493.15 = 186,455.70/x
  3. Step 3: Cross multiply
    201,662.10x = 302,493.15 × 186,455.70
  4. Step 4: Simplify right side
    201,662.10x = 56,401,572,028.46
  5. Step 5: Solve for x
    x = 56,401,572,028.46/201,662.10
  6. Step 6: Final answer
    x = 279,683.55

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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.