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Finding the Fourth Proportional to 227,333.81, 341,000.64 and 77,574.08

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Solution

The fourth proportional to 227,333.81, 341,000.64 and 77,574.08 is: 116,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,333.81 : 341,000.64 = 77,574.08 : x
  2. Step 2: Convert to fraction form
    227,333.81/341,000.64 = 77,574.08/x
  3. Step 3: Cross multiply
    227,333.81x = 341,000.64 × 77,574.08
  4. Step 4: Simplify right side
    227,333.81x = 26,452,809,222.41
  5. Step 5: Solve for x
    x = 26,452,809,222.41/227,333.81
  6. Step 6: Final answer
    x = 116,361.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.