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Finding the Fourth Proportional to 142,341.84, 196,423.20 and 78,675.84

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Solution

The fourth proportional to 142,341.84, 196,423.20 and 78,675.84 is: 108,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,341.84 : 196,423.20 = 78,675.84 : x
  2. Step 2: Convert to fraction form
    142,341.84/196,423.20 = 78,675.84/x
  3. Step 3: Cross multiply
    142,341.84x = 196,423.20 × 78,675.84
  4. Step 4: Simplify right side
    142,341.84x = 15,453,760,255.49
  5. Step 5: Solve for x
    x = 15,453,760,255.49/142,341.84
  6. Step 6: Final answer
    x = 108,567.94

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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.