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Finding the Fourth Proportional to 210,181.60, 290,039.16 and 119,525.32

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Solution

The fourth proportional to 210,181.60, 290,039.16 and 119,525.32 is: 164,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,181.60 : 290,039.16 = 119,525.32 : x
  2. Step 2: Convert to fraction form
    210,181.60/290,039.16 = 119,525.32/x
  3. Step 3: Cross multiply
    210,181.60x = 290,039.16 × 119,525.32
  4. Step 4: Simplify right side
    210,181.60x = 34,667,023,411.53
  5. Step 5: Solve for x
    x = 34,667,023,411.53/210,181.60
  6. Step 6: Final answer
    x = 164,938.43

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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.