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Finding the Fourth Proportional to 140,584.14, 210,876.48 and 35,402.40

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Solution

The fourth proportional to 140,584.14, 210,876.48 and 35,402.40 is: 53,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,584.14 : 210,876.48 = 35,402.40 : x
  2. Step 2: Convert to fraction form
    140,584.14/210,876.48 = 35,402.40/x
  3. Step 3: Cross multiply
    140,584.14x = 210,876.48 × 35,402.40
  4. Step 4: Simplify right side
    140,584.14x = 7,465,533,495.55
  5. Step 5: Solve for x
    x = 7,465,533,495.55/140,584.14
  6. Step 6: Final answer
    x = 53,103.67

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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.