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Finding the Fourth Proportional to 159,319.66, 238,956.44 and 46,994.34

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Solution

The fourth proportional to 159,319.66, 238,956.44 and 46,994.34 is: 70,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,319.66 : 238,956.44 = 46,994.34 : x
  2. Step 2: Convert to fraction form
    159,319.66/238,956.44 = 46,994.34/x
  3. Step 3: Cross multiply
    159,319.66x = 238,956.44 × 46,994.34
  4. Step 4: Simplify right side
    159,319.66x = 11,229,600,186.55
  5. Step 5: Solve for x
    x = 11,229,600,186.55/159,319.66
  6. Step 6: Final answer
    x = 70,484.71

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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.