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Finding the Fourth Proportional to 261,973, 361,522.74 and 142,741

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Solution

The fourth proportional to 261,973, 361,522.74 and 142,741 is: 196,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,973 : 361,522.74 = 142,741 : x
  2. Step 2: Convert to fraction form
    261,973/361,522.74 = 142,741/x
  3. Step 3: Cross multiply
    261,973x = 361,522.74 × 142,741
  4. Step 4: Simplify right side
    261,973x = 51,604,117,430.34
  5. Step 5: Solve for x
    x = 51,604,117,430.34/261,973
  6. Step 6: Final answer
    x = 196,982.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.