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Finding the Fourth Proportional to 242,226.72, 334,237.38 and 145,410.06

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Solution

The fourth proportional to 242,226.72, 334,237.38 and 145,410.06 is: 200,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,226.72 : 334,237.38 = 145,410.06 : x
  2. Step 2: Convert to fraction form
    242,226.72/334,237.38 = 145,410.06/x
  3. Step 3: Cross multiply
    242,226.72x = 334,237.38 × 145,410.06
  4. Step 4: Simplify right side
    242,226.72x = 48,601,477,480.04
  5. Step 5: Solve for x
    x = 48,601,477,480.04/242,226.72
  6. Step 6: Final answer
    x = 200,644.58

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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.