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Finding the Fourth Proportional to 227,774.94, 314,217.63 and 147,271.50

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Solution

The fourth proportional to 227,774.94, 314,217.63 and 147,271.50 is: 203,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,774.94 : 314,217.63 = 147,271.50 : x
  2. Step 2: Convert to fraction form
    227,774.94/314,217.63 = 147,271.50/x
  3. Step 3: Cross multiply
    227,774.94x = 314,217.63 × 147,271.50
  4. Step 4: Simplify right side
    227,774.94x = 46,275,301,696.55
  5. Step 5: Solve for x
    x = 46,275,301,696.55/227,774.94
  6. Step 6: Final answer
    x = 203,162.39

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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.