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Finding the Fourth Proportional to 281,094.40, 388,097.40 and 166,410.04

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Solution

The fourth proportional to 281,094.40, 388,097.40 and 166,410.04 is: 229,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,094.40 : 388,097.40 = 166,410.04 : x
  2. Step 2: Convert to fraction form
    281,094.40/388,097.40 = 166,410.04/x
  3. Step 3: Cross multiply
    281,094.40x = 388,097.40 × 166,410.04
  4. Step 4: Simplify right side
    281,094.40x = 64,583,303,857.90
  5. Step 5: Solve for x
    x = 64,583,303,857.90/281,094.40
  6. Step 6: Final answer
    x = 229,756.64

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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.