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Finding the Fourth Proportional to 142,814.40, 214,350.04 and 76,311.36

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Solution

The fourth proportional to 142,814.40, 214,350.04 and 76,311.36 is: 114,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,814.40 : 214,350.04 = 76,311.36 : x
  2. Step 2: Convert to fraction form
    142,814.40/214,350.04 = 76,311.36/x
  3. Step 3: Cross multiply
    142,814.40x = 214,350.04 × 76,311.36
  4. Step 4: Simplify right side
    142,814.40x = 16,357,343,068.45
  5. Step 5: Solve for x
    x = 16,357,343,068.45/142,814.40
  6. Step 6: Final answer
    x = 114,535.67

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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.