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Finding the Fourth Proportional to 229,307.70, 343,071.60 and 201,014.94

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Solution

The fourth proportional to 229,307.70, 343,071.60 and 201,014.94 is: 300,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,307.70 : 343,071.60 = 201,014.94 : x
  2. Step 2: Convert to fraction form
    229,307.70/343,071.60 = 201,014.94/x
  3. Step 3: Cross multiply
    229,307.70x = 343,071.60 × 201,014.94
  4. Step 4: Simplify right side
    229,307.70x = 68,962,517,089.70
  5. Step 5: Solve for x
    x = 68,962,517,089.70/229,307.70
  6. Step 6: Final answer
    x = 300,742.27

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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.