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Finding the Fourth Proportional to 122,851, 169,536.30 and 78,199.48

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Solution

The fourth proportional to 122,851, 169,536.30 and 78,199.48 is: 107,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,851 : 169,536.30 = 78,199.48 : x
  2. Step 2: Convert to fraction form
    122,851/169,536.30 = 78,199.48/x
  3. Step 3: Cross multiply
    122,851x = 169,536.30 × 78,199.48
  4. Step 4: Simplify right side
    122,851x = 13,257,650,501.12
  5. Step 5: Solve for x
    x = 13,257,650,501.12/122,851
  6. Step 6: Final answer
    x = 107,916.50

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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.