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Finding the Fourth Proportional to 142,756.90, 214,135.35 and 76,401.70

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Solution

The fourth proportional to 142,756.90, 214,135.35 and 76,401.70 is: 114,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,756.90 : 214,135.35 = 76,401.70 : x
  2. Step 2: Convert to fraction form
    142,756.90/214,135.35 = 76,401.70/x
  3. Step 3: Cross multiply
    142,756.90x = 214,135.35 × 76,401.70
  4. Step 4: Simplify right side
    142,756.90x = 16,360,304,770.10
  5. Step 5: Solve for x
    x = 16,360,304,770.10/142,756.90
  6. Step 6: Final answer
    x = 114,602.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.