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Finding the Fourth Proportional to 116,278, 174,443 and 42,406

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Solution

The fourth proportional to 116,278, 174,443 and 42,406 is: 63,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,278 : 174,443 = 42,406 : x
  2. Step 2: Convert to fraction form
    116,278/174,443 = 42,406/x
  3. Step 3: Cross multiply
    116,278x = 174,443 × 42,406
  4. Step 4: Simplify right side
    116,278x = 7,397,429,858
  5. Step 5: Solve for x
    x = 7,397,429,858/116,278
  6. Step 6: Final answer
    x = 63,618.48

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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.