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Finding the Fourth Proportional to 229,131, 343,584 and 94,170.60

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Solution

The fourth proportional to 229,131, 343,584 and 94,170.60 is: 141,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,131 : 343,584 = 94,170.60 : x
  2. Step 2: Convert to fraction form
    229,131/343,584 = 94,170.60/x
  3. Step 3: Cross multiply
    229,131x = 343,584 × 94,170.60
  4. Step 4: Simplify right side
    229,131x = 32,355,511,430.40
  5. Step 5: Solve for x
    x = 32,355,511,430.40/229,131
  6. Step 6: Final answer
    x = 141,209.66

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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.