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Finding the Fourth Proportional to 157,785.88, 217,746.30 and 86,166.76

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Solution

The fourth proportional to 157,785.88, 217,746.30 and 86,166.76 is: 118,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,785.88 : 217,746.30 = 86,166.76 : x
  2. Step 2: Convert to fraction form
    157,785.88/217,746.30 = 86,166.76/x
  3. Step 3: Cross multiply
    157,785.88x = 217,746.30 × 86,166.76
  4. Step 4: Simplify right side
    157,785.88x = 18,762,493,172.99
  5. Step 5: Solve for x
    x = 18,762,493,172.99/157,785.88
  6. Step 6: Final answer
    x = 118,911.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.