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Finding the Fourth Proportional to 227,577, 314,056.26 and 126,975

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Solution

The fourth proportional to 227,577, 314,056.26 and 126,975 is: 175,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,577 : 314,056.26 = 126,975 : x
  2. Step 2: Convert to fraction form
    227,577/314,056.26 = 126,975/x
  3. Step 3: Cross multiply
    227,577x = 314,056.26 × 126,975
  4. Step 4: Simplify right side
    227,577x = 39,877,293,613.50
  5. Step 5: Solve for x
    x = 39,877,293,613.50/227,577
  6. Step 6: Final answer
    x = 175,225.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.