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Finding the Fourth Proportional to 149,570, 206,421.18 and 82,502

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Solution

The fourth proportional to 149,570, 206,421.18 and 82,502 is: 113,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,570 : 206,421.18 = 82,502 : x
  2. Step 2: Convert to fraction form
    149,570/206,421.18 = 82,502/x
  3. Step 3: Cross multiply
    149,570x = 206,421.18 × 82,502
  4. Step 4: Simplify right side
    149,570x = 17,030,160,192.36
  5. Step 5: Solve for x
    x = 17,030,160,192.36/149,570
  6. Step 6: Final answer
    x = 113,860.80

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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.