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Finding the Fourth Proportional to 275,435.79, 413,089.03 and 133,210.72

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Solution

The fourth proportional to 275,435.79, 413,089.03 and 133,210.72 is: 199,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,435.79 : 413,089.03 = 133,210.72 : x
  2. Step 2: Convert to fraction form
    275,435.79/413,089.03 = 133,210.72/x
  3. Step 3: Cross multiply
    275,435.79x = 413,089.03 × 133,210.72
  4. Step 4: Simplify right side
    275,435.79x = 55,027,887,110.40
  5. Step 5: Solve for x
    x = 55,027,887,110.40/275,435.79
  6. Step 6: Final answer
    x = 199,784.81

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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.