Home / 230,823.76-345,971.04-105,902.32

Finding the Fourth Proportional to 230,823.76, 345,971.04 and 105,902.32

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Solution

The fourth proportional to 230,823.76, 345,971.04 and 105,902.32 is: 158,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,823.76 : 345,971.04 = 105,902.32 : x
  2. Step 2: Convert to fraction form
    230,823.76/345,971.04 = 105,902.32/x
  3. Step 3: Cross multiply
    230,823.76x = 345,971.04 × 105,902.32
  4. Step 4: Simplify right side
    230,823.76x = 36,639,135,788.81
  5. Step 5: Solve for x
    x = 36,639,135,788.81/230,823.76
  6. Step 6: Final answer
    x = 158,732.08

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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.