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Finding the Fourth Proportional to 149,773, 206,686.92 and 82,705

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Solution

The fourth proportional to 149,773, 206,686.92 and 82,705 is: 114,133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,773 : 206,686.92 = 82,705 : x
  2. Step 2: Convert to fraction form
    149,773/206,686.92 = 82,705/x
  3. Step 3: Cross multiply
    149,773x = 206,686.92 × 82,705
  4. Step 4: Simplify right side
    149,773x = 17,094,041,718.60
  5. Step 5: Solve for x
    x = 17,094,041,718.60/149,773
  6. Step 6: Final answer
    x = 114,133.00

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Why These Related Problems?

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