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Finding the Fourth Proportional to 157,022.84, 216,700.38 and 85,401.43

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Solution

The fourth proportional to 157,022.84, 216,700.38 and 85,401.43 is: 117,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,022.84 : 216,700.38 = 85,401.43 : x
  2. Step 2: Convert to fraction form
    157,022.84/216,700.38 = 85,401.43/x
  3. Step 3: Cross multiply
    157,022.84x = 216,700.38 × 85,401.43
  4. Step 4: Simplify right side
    157,022.84x = 18,506,521,791.79
  5. Step 5: Solve for x
    x = 18,506,521,791.79/157,022.84
  6. Step 6: Final answer
    x = 117,858.79

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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.