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Finding the Fourth Proportional to 224,448, 309,744.72 and 123,852.48

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Solution

The fourth proportional to 224,448, 309,744.72 and 123,852.48 is: 170,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,448 : 309,744.72 = 123,852.48 : x
  2. Step 2: Convert to fraction form
    224,448/309,744.72 = 123,852.48/x
  3. Step 3: Cross multiply
    224,448x = 309,744.72 × 123,852.48
  4. Step 4: Simplify right side
    224,448x = 38,362,651,738.91
  5. Step 5: Solve for x
    x = 38,362,651,738.91/224,448
  6. Step 6: Final answer
    x = 170,920.00

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