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Finding the Fourth Proportional to 157,819.77, 217,790.64 and 86,199.84

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Solution

The fourth proportional to 157,819.77, 217,790.64 and 86,199.84 is: 118,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,819.77 : 217,790.64 = 86,199.84 : x
  2. Step 2: Convert to fraction form
    157,819.77/217,790.64 = 86,199.84/x
  3. Step 3: Cross multiply
    157,819.77x = 217,790.64 × 86,199.84
  4. Step 4: Simplify right side
    157,819.77x = 18,773,518,321.50
  5. Step 5: Solve for x
    x = 18,773,518,321.50/157,819.77
  6. Step 6: Final answer
    x = 118,955.43

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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.