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Finding the Fourth Proportional to 227,576.80, 313,981.04 and 147,051.76

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Solution

The fourth proportional to 227,576.80, 313,981.04 and 147,051.76 is: 202,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,576.80 : 313,981.04 = 147,051.76 : x
  2. Step 2: Convert to fraction form
    227,576.80/313,981.04 = 147,051.76/x
  3. Step 3: Cross multiply
    227,576.80x = 313,981.04 × 147,051.76
  4. Step 4: Simplify right side
    227,576.80x = 46,171,464,538.63
  5. Step 5: Solve for x
    x = 46,171,464,538.63/227,576.80
  6. Step 6: Final answer
    x = 202,883.00

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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.