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Finding the Fourth Proportional to 157,735.77, 217,676.10 and 86,117.43

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Solution

The fourth proportional to 157,735.77, 217,676.10 and 86,117.43 is: 118,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,735.77 : 217,676.10 = 86,117.43 : x
  2. Step 2: Convert to fraction form
    157,735.77/217,676.10 = 86,117.43/x
  3. Step 3: Cross multiply
    157,735.77x = 217,676.10 × 86,117.43
  4. Step 4: Simplify right side
    157,735.77x = 18,745,705,873.84
  5. Step 5: Solve for x
    x = 18,745,705,873.84/157,735.77
  6. Step 6: Final answer
    x = 118,842.46

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1.5x scale

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.