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Finding the Fourth Proportional to 228,461.60, 342,654.60 and 76,656.80

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Solution

The fourth proportional to 228,461.60, 342,654.60 and 76,656.80 is: 114,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,461.60 : 342,654.60 = 76,656.80 : x
  2. Step 2: Convert to fraction form
    228,461.60/342,654.60 = 76,656.80/x
  3. Step 3: Cross multiply
    228,461.60x = 342,654.60 × 76,656.80
  4. Step 4: Simplify right side
    228,461.60x = 26,266,805,141.28
  5. Step 5: Solve for x
    x = 26,266,805,141.28/228,461.60
  6. Step 6: Final answer
    x = 114,972.52

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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.