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Finding the Fourth Proportional to 223,821.40, 308,887.52 and 123,219.40

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Solution

The fourth proportional to 223,821.40, 308,887.52 and 123,219.40 is: 170,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,821.40 : 308,887.52 = 123,219.40 : x
  2. Step 2: Convert to fraction form
    223,821.40/308,887.52 = 123,219.40/x
  3. Step 3: Cross multiply
    223,821.40x = 308,887.52 × 123,219.40
  4. Step 4: Simplify right side
    223,821.40x = 38,060,934,881.89
  5. Step 5: Solve for x
    x = 38,060,934,881.89/223,821.40
  6. Step 6: Final answer
    x = 170,050.47

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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.