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Finding the Fourth Proportional to 223,673.08, 335,498.67 and 83,420.77

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Solution

The fourth proportional to 223,673.08, 335,498.67 and 83,420.77 is: 125,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,673.08 : 335,498.67 = 83,420.77 : x
  2. Step 2: Convert to fraction form
    223,673.08/335,498.67 = 83,420.77/x
  3. Step 3: Cross multiply
    223,673.08x = 335,498.67 × 83,420.77
  4. Step 4: Simplify right side
    223,673.08x = 27,987,557,385.38
  5. Step 5: Solve for x
    x = 27,987,557,385.38/223,673.08
  6. Step 6: Final answer
    x = 125,127.07

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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.