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Finding the Fourth Proportional to 84,308.34, 116,293.41 and 70,661.46

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Solution

The fourth proportional to 84,308.34, 116,293.41 and 70,661.46 is: 97,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,308.34 : 116,293.41 = 70,661.46 : x
  2. Step 2: Convert to fraction form
    84,308.34/116,293.41 = 70,661.46/x
  3. Step 3: Cross multiply
    84,308.34x = 116,293.41 × 70,661.46
  4. Step 4: Simplify right side
    84,308.34x = 8,217,462,138.98
  5. Step 5: Solve for x
    x = 8,217,462,138.98/84,308.34
  6. Step 6: Final answer
    x = 97,469.15

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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.