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Finding the Fourth Proportional to 125,930.40, 188,895.60 and 102,310.80

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Solution

The fourth proportional to 125,930.40, 188,895.60 and 102,310.80 is: 153,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,930.40 : 188,895.60 = 102,310.80 : x
  2. Step 2: Convert to fraction form
    125,930.40/188,895.60 = 102,310.80/x
  3. Step 3: Cross multiply
    125,930.40x = 188,895.60 × 102,310.80
  4. Step 4: Simplify right side
    125,930.40x = 19,326,059,952.48
  5. Step 5: Solve for x
    x = 19,326,059,952.48/125,930.40
  6. Step 6: Final answer
    x = 153,466.20

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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.