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Finding the Fourth Proportional to 186,309, 257,171.22 and 110,855.88

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Solution

The fourth proportional to 186,309, 257,171.22 and 110,855.88 is: 153,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,309 : 257,171.22 = 110,855.88 : x
  2. Step 2: Convert to fraction form
    186,309/257,171.22 = 110,855.88/x
  3. Step 3: Cross multiply
    186,309x = 257,171.22 × 110,855.88
  4. Step 4: Simplify right side
    186,309x = 28,508,941,903.77
  5. Step 5: Solve for x
    x = 28,508,941,903.77/186,309
  6. Step 6: Final answer
    x = 153,019.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.