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Finding the Fourth Proportional to 223,698.02, 308,702.76 and 123,096.02

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Solution

The fourth proportional to 223,698.02, 308,702.76 and 123,096.02 is: 169,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,698.02 : 308,702.76 = 123,096.02 : x
  2. Step 2: Convert to fraction form
    223,698.02/308,702.76 = 123,096.02/x
  3. Step 3: Cross multiply
    223,698.02x = 308,702.76 × 123,096.02
  4. Step 4: Simplify right side
    223,698.02x = 38,000,081,119.02
  5. Step 5: Solve for x
    x = 38,000,081,119.02/223,698.02
  6. Step 6: Final answer
    x = 169,872.23

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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.