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Finding the Fourth Proportional to 206,637.84, 309,661.02 and 117,707.67

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Solution

The fourth proportional to 206,637.84, 309,661.02 and 117,707.67 is: 176,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,637.84 : 309,661.02 = 117,707.67 : x
  2. Step 2: Convert to fraction form
    206,637.84/309,661.02 = 117,707.67/x
  3. Step 3: Cross multiply
    206,637.84x = 309,661.02 × 117,707.67
  4. Step 4: Simplify right side
    206,637.84x = 36,449,477,154.02
  5. Step 5: Solve for x
    x = 36,449,477,154.02/206,637.84
  6. Step 6: Final answer
    x = 176,393.04

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