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Finding the Fourth Proportional to 214,002.81, 295,323.98 and 117,212.76

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Solution

The fourth proportional to 214,002.81, 295,323.98 and 117,212.76 is: 161,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,002.81 : 295,323.98 = 117,212.76 : x
  2. Step 2: Convert to fraction form
    214,002.81/295,323.98 = 117,212.76/x
  3. Step 3: Cross multiply
    214,002.81x = 295,323.98 × 117,212.76
  4. Step 4: Simplify right side
    214,002.81x = 34,615,740,151.96
  5. Step 5: Solve for x
    x = 34,615,740,151.96/214,002.81
  6. Step 6: Final answer
    x = 161,753.67

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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.