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Finding the Fourth Proportional to 227,075.16, 313,359.66 and 126,471

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Solution

The fourth proportional to 227,075.16, 313,359.66 and 126,471 is: 174,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,075.16 : 313,359.66 = 126,471 : x
  2. Step 2: Convert to fraction form
    227,075.16/313,359.66 = 126,471/x
  3. Step 3: Cross multiply
    227,075.16x = 313,359.66 × 126,471
  4. Step 4: Simplify right side
    227,075.16x = 39,630,909,559.86
  5. Step 5: Solve for x
    x = 39,630,909,559.86/227,075.16
  6. Step 6: Final answer
    x = 174,527.72

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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.