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Finding the Fourth Proportional to 116,280, 174,446 and 42,408

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Solution

The fourth proportional to 116,280, 174,446 and 42,408 is: 63,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,280 : 174,446 = 42,408 : x
  2. Step 2: Convert to fraction form
    116,280/174,446 = 42,408/x
  3. Step 3: Cross multiply
    116,280x = 174,446 × 42,408
  4. Step 4: Simplify right side
    116,280x = 7,397,905,968
  5. Step 5: Solve for x
    x = 7,397,905,968/116,280
  6. Step 6: Final answer
    x = 63,621.48

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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.