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Finding the Fourth Proportional to 229,307.69, 343,071.61 and 201,014.93

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Solution

The fourth proportional to 229,307.69, 343,071.61 and 201,014.93 is: 300,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,307.69 : 343,071.61 = 201,014.93 : x
  2. Step 2: Convert to fraction form
    229,307.69/343,071.61 = 201,014.93/x
  3. Step 3: Cross multiply
    229,307.69x = 343,071.61 × 201,014.93
  4. Step 4: Simplify right side
    229,307.69x = 68,962,515,669.14
  5. Step 5: Solve for x
    x = 68,962,515,669.14/229,307.69
  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.