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Finding the Fourth Proportional to 230,646.64, 345,853.32 and 118,302.88

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Solution

The fourth proportional to 230,646.64, 345,853.32 and 118,302.88 is: 177,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,646.64 : 345,853.32 = 118,302.88 : x
  2. Step 2: Convert to fraction form
    230,646.64/345,853.32 = 118,302.88/x
  3. Step 3: Cross multiply
    230,646.64x = 345,853.32 × 118,302.88
  4. Step 4: Simplify right side
    230,646.64x = 40,915,443,813.56
  5. Step 5: Solve for x
    x = 40,915,443,813.56/230,646.64
  6. Step 6: Final answer
    x = 177,394.49

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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.