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Finding the Fourth Proportional to 142,492.77, 196,639.20 and 78,829.20

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Solution

The fourth proportional to 142,492.77, 196,639.20 and 78,829.20 is: 108,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,492.77 : 196,639.20 = 78,829.20 : x
  2. Step 2: Convert to fraction form
    142,492.77/196,639.20 = 78,829.20/x
  3. Step 3: Cross multiply
    142,492.77x = 196,639.20 × 78,829.20
  4. Step 4: Simplify right side
    142,492.77x = 15,500,910,824.64
  5. Step 5: Solve for x
    x = 15,500,910,824.64/142,492.77
  6. Step 6: Final answer
    x = 108,783.84

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Why These Related Problems?

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