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Finding the Fourth Proportional to 351,097.81, 484,518.45 and 189,956.32

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Solution

The fourth proportional to 351,097.81, 484,518.45 and 189,956.32 is: 262,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,097.81 : 484,518.45 = 189,956.32 : x
  2. Step 2: Convert to fraction form
    351,097.81/484,518.45 = 189,956.32/x
  3. Step 3: Cross multiply
    351,097.81x = 484,518.45 × 189,956.32
  4. Step 4: Simplify right side
    351,097.81x = 92,037,341,734.10
  5. Step 5: Solve for x
    x = 92,037,341,734.10/351,097.81
  6. Step 6: Final answer
    x = 262,141.60

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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.