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Finding the Fourth Proportional to 223,204.52, 308,075.32 and 127,766.28

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Solution

The fourth proportional to 223,204.52, 308,075.32 and 127,766.28 is: 176,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,204.52 : 308,075.32 = 127,766.28 : x
  2. Step 2: Convert to fraction form
    223,204.52/308,075.32 = 127,766.28/x
  3. Step 3: Cross multiply
    223,204.52x = 308,075.32 × 127,766.28
  4. Step 4: Simplify right side
    223,204.52x = 39,361,637,596.21
  5. Step 5: Solve for x
    x = 39,361,637,596.21/223,204.52
  6. Step 6: Final answer
    x = 176,347.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.