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Finding the Fourth Proportional to 292,038.68, 437,991.96 and 134,115.32

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Solution

The fourth proportional to 292,038.68, 437,991.96 and 134,115.32 is: 201,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,038.68 : 437,991.96 = 134,115.32 : x
  2. Step 2: Convert to fraction form
    292,038.68/437,991.96 = 134,115.32/x
  3. Step 3: Cross multiply
    292,038.68x = 437,991.96 × 134,115.32
  4. Step 4: Simplify right side
    292,038.68x = 58,741,431,872.83
  5. Step 5: Solve for x
    x = 58,741,431,872.83/292,038.68
  6. Step 6: Final answer
    x = 201,142.64

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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.