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Finding the Fourth Proportional to 157,031.49, 216,707.91 and 85,416.09

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Solution

The fourth proportional to 157,031.49, 216,707.91 and 85,416.09 is: 117,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,031.49 : 216,707.91 = 85,416.09 : x
  2. Step 2: Convert to fraction form
    157,031.49/216,707.91 = 85,416.09/x
  3. Step 3: Cross multiply
    157,031.49x = 216,707.91 × 85,416.09
  4. Step 4: Simplify right side
    157,031.49x = 18,510,342,344.27
  5. Step 5: Solve for x
    x = 18,510,342,344.27/157,031.49
  6. Step 6: Final answer
    x = 117,876.63

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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.