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Finding the Fourth Proportional to 152,676.48, 210,694.80 and 84,697.90

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Solution

The fourth proportional to 152,676.48, 210,694.80 and 84,697.90 is: 116,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,676.48 : 210,694.80 = 84,697.90 : x
  2. Step 2: Convert to fraction form
    152,676.48/210,694.80 = 84,697.90/x
  3. Step 3: Cross multiply
    152,676.48x = 210,694.80 × 84,697.90
  4. Step 4: Simplify right side
    152,676.48x = 17,845,407,100.92
  5. Step 5: Solve for x
    x = 17,845,407,100.92/152,676.48
  6. Step 6: Final answer
    x = 116,883.80

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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.