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Finding the Fourth Proportional to 230,170.95, 345,034.96 and 117,904.04

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Solution

The fourth proportional to 230,170.95, 345,034.96 and 117,904.04 is: 176,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,170.95 : 345,034.96 = 117,904.04 : x
  2. Step 2: Convert to fraction form
    230,170.95/345,034.96 = 117,904.04/x
  3. Step 3: Cross multiply
    230,170.95x = 345,034.96 × 117,904.04
  4. Step 4: Simplify right side
    230,170.95x = 40,681,014,999.18
  5. Step 5: Solve for x
    x = 40,681,014,999.18/230,170.95
  6. Step 6: Final answer
    x = 176,742.61

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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.