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Finding the Fourth Proportional to 201,281.48, 301,922.02 and 51,521.53

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Solution

The fourth proportional to 201,281.48, 301,922.02 and 51,521.53 is: 77,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.48 : 301,922.02 = 51,521.53 : x
  2. Step 2: Convert to fraction form
    201,281.48/301,922.02 = 51,521.53/x
  3. Step 3: Cross multiply
    201,281.48x = 301,922.02 × 51,521.53
  4. Step 4: Simplify right side
    201,281.48x = 15,555,483,527.48
  5. Step 5: Solve for x
    x = 15,555,483,527.48/201,281.48
  6. Step 6: Final answer
    x = 77,282.24

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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.