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Finding the Fourth Proportional to 243,534.56, 365,258.04 and 110,390

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Solution

The fourth proportional to 243,534.56, 365,258.04 and 110,390 is: 165,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,534.56 : 365,258.04 = 110,390 : x
  2. Step 2: Convert to fraction form
    243,534.56/365,258.04 = 110,390/x
  3. Step 3: Cross multiply
    243,534.56x = 365,258.04 × 110,390
  4. Step 4: Simplify right side
    243,534.56x = 40,320,835,035.60
  5. Step 5: Solve for x
    x = 40,320,835,035.60/243,534.56
  6. Step 6: Final answer
    x = 165,565.15

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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.