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Finding the Fourth Proportional to 201,807.18, 302,244.21 and 194,808.78

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Solution

The fourth proportional to 201,807.18, 302,244.21 and 194,808.78 is: 291,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,807.18 : 302,244.21 = 194,808.78 : x
  2. Step 2: Convert to fraction form
    201,807.18/302,244.21 = 194,808.78/x
  3. Step 3: Cross multiply
    201,807.18x = 302,244.21 × 194,808.78
  4. Step 4: Simplify right side
    201,807.18x = 58,879,825,812.16
  5. Step 5: Solve for x
    x = 58,879,825,812.16/201,807.18
  6. Step 6: Final answer
    x = 291,762.79

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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.