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Finding the Fourth Proportional to 201,054.24, 301,583.70 and 51,294.24

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Solution

The fourth proportional to 201,054.24, 301,583.70 and 51,294.24 is: 76,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,054.24 : 301,583.70 = 51,294.24 : x
  2. Step 2: Convert to fraction form
    201,054.24/301,583.70 = 51,294.24/x
  3. Step 3: Cross multiply
    201,054.24x = 301,583.70 × 51,294.24
  4. Step 4: Simplify right side
    201,054.24x = 15,469,506,687.89
  5. Step 5: Solve for x
    x = 15,469,506,687.89/201,054.24
  6. Step 6: Final answer
    x = 76,941.96

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1.5x scale

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.