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Finding the Fourth Proportional to 227,776.94, 314,220.38 and 147,273.50

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Solution

The fourth proportional to 227,776.94, 314,220.38 and 147,273.50 is: 203,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,776.94 : 314,220.38 = 147,273.50 : x
  2. Step 2: Convert to fraction form
    227,776.94/314,220.38 = 147,273.50/x
  3. Step 3: Cross multiply
    227,776.94x = 314,220.38 × 147,273.50
  4. Step 4: Simplify right side
    227,776.94x = 46,276,335,133.93
  5. Step 5: Solve for x
    x = 46,276,335,133.93/227,776.94
  6. Step 6: Final answer
    x = 203,165.15

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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.