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Finding the Fourth Proportional to 116,139.92, 160,283.68 and 70,820.42

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Solution

The fourth proportional to 116,139.92, 160,283.68 and 70,820.42 is: 97,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,139.92 : 160,283.68 = 70,820.42 : x
  2. Step 2: Convert to fraction form
    116,139.92/160,283.68 = 70,820.42/x
  3. Step 3: Cross multiply
    116,139.92x = 160,283.68 × 70,820.42
  4. Step 4: Simplify right side
    116,139.92x = 11,351,356,558.28
  5. Step 5: Solve for x
    x = 11,351,356,558.28/116,139.92
  6. Step 6: Final answer
    x = 97,738.63

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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.