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Finding the Fourth Proportional to 251,409, 346,946.04 and 138,235.80

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Solution

The fourth proportional to 251,409, 346,946.04 and 138,235.80 is: 190,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,409 : 346,946.04 = 138,235.80 : x
  2. Step 2: Convert to fraction form
    251,409/346,946.04 = 138,235.80/x
  3. Step 3: Cross multiply
    251,409x = 346,946.04 × 138,235.80
  4. Step 4: Simplify right side
    251,409x = 47,960,363,396.23
  5. Step 5: Solve for x
    x = 47,960,363,396.23/251,409
  6. Step 6: Final answer
    x = 190,766.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.