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Finding the Fourth Proportional to 227,813.77, 341,784.02 and 99,707.21

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Solution

The fourth proportional to 227,813.77, 341,784.02 and 99,707.21 is: 149,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,813.77 : 341,784.02 = 99,707.21 : x
  2. Step 2: Convert to fraction form
    227,813.77/341,784.02 = 99,707.21/x
  3. Step 3: Cross multiply
    227,813.77x = 341,784.02 × 99,707.21
  4. Step 4: Simplify right side
    227,813.77x = 34,078,331,056.78
  5. Step 5: Solve for x
    x = 34,078,331,056.78/227,813.77
  6. Step 6: Final answer
    x = 149,588.55

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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.