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Finding the Fourth Proportional to 312,964.86, 469,442.43 and 125,971.50

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Solution

The fourth proportional to 312,964.86, 469,442.43 and 125,971.50 is: 188,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,964.86 : 469,442.43 = 125,971.50 : x
  2. Step 2: Convert to fraction form
    312,964.86/469,442.43 = 125,971.50/x
  3. Step 3: Cross multiply
    312,964.86x = 469,442.43 × 125,971.50
  4. Step 4: Simplify right side
    312,964.86x = 59,136,367,070.75
  5. Step 5: Solve for x
    x = 59,136,367,070.75/312,964.86
  6. Step 6: Final answer
    x = 188,955.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.