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Finding the Fourth Proportional to 116,370, 174,555 and 42,498

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Solution

The fourth proportional to 116,370, 174,555 and 42,498 is: 63,747

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,370 : 174,555 = 42,498 : x
  2. Step 2: Convert to fraction form
    116,370/174,555 = 42,498/x
  3. Step 3: Cross multiply
    116,370x = 174,555 × 42,498
  4. Step 4: Simplify right side
    116,370x = 7,418,238,390
  5. Step 5: Solve for x
    x = 7,418,238,390/116,370
  6. Step 6: Final answer
    x = 63,747

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Why These Related Problems?

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