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Finding the Fourth Proportional to 205,058.88, 307,482.96 and 92,678.28

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Solution

The fourth proportional to 205,058.88, 307,482.96 and 92,678.28 is: 138,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,058.88 : 307,482.96 = 92,678.28 : x
  2. Step 2: Convert to fraction form
    205,058.88/307,482.96 = 92,678.28/x
  3. Step 3: Cross multiply
    205,058.88x = 307,482.96 × 92,678.28
  4. Step 4: Simplify right side
    205,058.88x = 28,496,991,862.11
  5. Step 5: Solve for x
    x = 28,496,991,862.11/205,058.88
  6. Step 6: Final answer
    x = 138,969.80

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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.