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Finding the Fourth Proportional to 142,281.77, 196,347.44 and 78,618.20

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Solution

The fourth proportional to 142,281.77, 196,347.44 and 78,618.20 is: 108,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,281.77 : 196,347.44 = 78,618.20 : x
  2. Step 2: Convert to fraction form
    142,281.77/196,347.44 = 78,618.20/x
  3. Step 3: Cross multiply
    142,281.77x = 196,347.44 × 78,618.20
  4. Step 4: Simplify right side
    142,281.77x = 15,436,481,522.22
  5. Step 5: Solve for x
    x = 15,436,481,522.22/142,281.77
  6. Step 6: Final answer
    x = 108,492.34

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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.