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Finding the Fourth Proportional to 223,283.04, 308,112.72 and 127,767.84

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Solution

The fourth proportional to 223,283.04, 308,112.72 and 127,767.84 is: 176,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,283.04 : 308,112.72 = 127,767.84 : x
  2. Step 2: Convert to fraction form
    223,283.04/308,112.72 = 127,767.84/x
  3. Step 3: Cross multiply
    223,283.04x = 308,112.72 × 127,767.84
  4. Step 4: Simplify right side
    223,283.04x = 39,366,896,710.92
  5. Step 5: Solve for x
    x = 39,366,896,710.92/223,283.04
  6. Step 6: Final answer
    x = 176,309.39

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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.