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Finding the Fourth Proportional to 116,371, 174,556.50 and 42,499

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Solution

The fourth proportional to 116,371, 174,556.50 and 42,499 is: 63,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,371 : 174,556.50 = 42,499 : x
  2. Step 2: Convert to fraction form
    116,371/174,556.50 = 42,499/x
  3. Step 3: Cross multiply
    116,371x = 174,556.50 × 42,499
  4. Step 4: Simplify right side
    116,371x = 7,418,476,693.50
  5. Step 5: Solve for x
    x = 7,418,476,693.50/116,371
  6. Step 6: Final answer
    x = 63,748.50

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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.