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Finding the Fourth Proportional to 142,291.14, 196,373.43 and 78,630

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Solution

The fourth proportional to 142,291.14, 196,373.43 and 78,630 is: 108,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,291.14 : 196,373.43 = 78,630 : x
  2. Step 2: Convert to fraction form
    142,291.14/196,373.43 = 78,630/x
  3. Step 3: Cross multiply
    142,291.14x = 196,373.43 × 78,630
  4. Step 4: Simplify right side
    142,291.14x = 15,440,842,800.90
  5. Step 5: Solve for x
    x = 15,440,842,800.90/142,291.14
  6. Step 6: Final answer
    x = 108,515.84

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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.