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Finding the Fourth Proportional to 152,954.92, 211,054.98 and 85,873.96

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Solution

The fourth proportional to 152,954.92, 211,054.98 and 85,873.96 is: 118,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,954.92 : 211,054.98 = 85,873.96 : x
  2. Step 2: Convert to fraction form
    152,954.92/211,054.98 = 85,873.96/x
  3. Step 3: Cross multiply
    152,954.92x = 211,054.98 × 85,873.96
  4. Step 4: Simplify right side
    152,954.92x = 18,124,126,910.32
  5. Step 5: Solve for x
    x = 18,124,126,910.32/152,954.92
  6. Step 6: Final answer
    x = 118,493.26

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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.