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Finding the Fourth Proportional to 243,622.32, 365,355.72 and 77,371.44

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Solution

The fourth proportional to 243,622.32, 365,355.72 and 77,371.44 is: 116,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,622.32 : 365,355.72 = 77,371.44 : x
  2. Step 2: Convert to fraction form
    243,622.32/365,355.72 = 77,371.44/x
  3. Step 3: Cross multiply
    243,622.32x = 365,355.72 × 77,371.44
  4. Step 4: Simplify right side
    243,622.32x = 28,268,098,168.64
  5. Step 5: Solve for x
    x = 28,268,098,168.64/243,622.32
  6. Step 6: Final answer
    x = 116,032.46

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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.