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Finding the Fourth Proportional to 113,402.40, 169,898.80 and 100,295.20

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Solution

The fourth proportional to 113,402.40, 169,898.80 and 100,295.20 is: 150,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,402.40 : 169,898.80 = 100,295.20 : x
  2. Step 2: Convert to fraction form
    113,402.40/169,898.80 = 100,295.20/x
  3. Step 3: Cross multiply
    113,402.40x = 169,898.80 × 100,295.20
  4. Step 4: Simplify right side
    113,402.40x = 17,040,034,125.76
  5. Step 5: Solve for x
    x = 17,040,034,125.76/113,402.40
  6. Step 6: Final answer
    x = 150,261.67

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Why These Related Problems?

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