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Finding the Fourth Proportional to 223,184.82, 308,048.70 and 127,746.90

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Solution

The fourth proportional to 223,184.82, 308,048.70 and 127,746.90 is: 176,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,184.82 : 308,048.70 = 127,746.90 : x
  2. Step 2: Convert to fraction form
    223,184.82/308,048.70 = 127,746.90/x
  3. Step 3: Cross multiply
    223,184.82x = 308,048.70 × 127,746.90
  4. Step 4: Simplify right side
    223,184.82x = 39,352,266,474.03
  5. Step 5: Solve for x
    x = 39,352,266,474.03/223,184.82
  6. Step 6: Final answer
    x = 176,321.43

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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.