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Finding the Fourth Proportional to 279,969.60, 419,954.40 and 102,482.40

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Solution

The fourth proportional to 279,969.60, 419,954.40 and 102,482.40 is: 153,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,969.60 : 419,954.40 = 102,482.40 : x
  2. Step 2: Convert to fraction form
    279,969.60/419,954.40 = 102,482.40/x
  3. Step 3: Cross multiply
    279,969.60x = 419,954.40 × 102,482.40
  4. Step 4: Simplify right side
    279,969.60x = 43,037,934,802.56
  5. Step 5: Solve for x
    x = 43,037,934,802.56/279,969.60
  6. Step 6: Final answer
    x = 153,723.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.