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Finding the Fourth Proportional to 84,842.84, 116,971.70 and 70,514.96

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Solution

The fourth proportional to 84,842.84, 116,971.70 and 70,514.96 is: 97,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,842.84 : 116,971.70 = 70,514.96 : x
  2. Step 2: Convert to fraction form
    84,842.84/116,971.70 = 70,514.96/x
  3. Step 3: Cross multiply
    84,842.84x = 116,971.70 × 70,514.96
  4. Step 4: Simplify right side
    84,842.84x = 8,248,253,809.20
  5. Step 5: Solve for x
    x = 8,248,253,809.20/84,842.84
  6. Step 6: Final answer
    x = 97,218.03

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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.