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Finding the Fourth Proportional to 84,302.84, 116,285.82 and 70,655.96

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Solution

The fourth proportional to 84,302.84, 116,285.82 and 70,655.96 is: 97,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,302.84 : 116,285.82 = 70,655.96 : x
  2. Step 2: Convert to fraction form
    84,302.84/116,285.82 = 70,655.96/x
  3. Step 3: Cross multiply
    84,302.84x = 116,285.82 × 70,655.96
  4. Step 4: Simplify right side
    84,302.84x = 8,216,286,246.49
  5. Step 5: Solve for x
    x = 8,216,286,246.49/84,302.84
  6. Step 6: Final answer
    x = 97,461.56

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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.