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Finding the Fourth Proportional to 142,492.69, 196,629.07 and 78,829.12

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Solution

The fourth proportional to 142,492.69, 196,629.07 and 78,829.12 is: 108,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,492.69 : 196,629.07 = 78,829.12 : x
  2. Step 2: Convert to fraction form
    142,492.69/196,629.07 = 78,829.12/x
  3. Step 3: Cross multiply
    142,492.69x = 196,629.07 × 78,829.12
  4. Step 4: Simplify right side
    142,492.69x = 15,500,095,374.30
  5. Step 5: Solve for x
    x = 15,500,095,374.30/142,492.69
  6. Step 6: Final answer
    x = 108,778.18

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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.