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Finding the Fourth Proportional to 160,274, 240,411 and 43,538

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Solution

The fourth proportional to 160,274, 240,411 and 43,538 is: 65,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,274 : 240,411 = 43,538 : x
  2. Step 2: Convert to fraction form
    160,274/240,411 = 43,538/x
  3. Step 3: Cross multiply
    160,274x = 240,411 × 43,538
  4. Step 4: Simplify right side
    160,274x = 10,467,014,118
  5. Step 5: Solve for x
    x = 10,467,014,118/160,274
  6. Step 6: Final answer
    x = 65,307

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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.