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Finding the Fourth Proportional to 142,217.34, 196,256.17 and 78,553.77

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Solution

The fourth proportional to 142,217.34, 196,256.17 and 78,553.77 is: 108,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,217.34 : 196,256.17 = 78,553.77 : x
  2. Step 2: Convert to fraction form
    142,217.34/196,256.17 = 78,553.77/x
  3. Step 3: Cross multiply
    142,217.34x = 196,256.17 × 78,553.77
  4. Step 4: Simplify right side
    142,217.34x = 15,416,662,039.26
  5. Step 5: Solve for x
    x = 15,416,662,039.26/142,217.34
  6. Step 6: Final answer
    x = 108,402.13

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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.