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Finding the Fourth Proportional to 180,402.01, 270,909.20 and 156,738.67

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Solution

The fourth proportional to 180,402.01, 270,909.20 and 156,738.67 is: 235,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,402.01 : 270,909.20 = 156,738.67 : x
  2. Step 2: Convert to fraction form
    180,402.01/270,909.20 = 156,738.67/x
  3. Step 3: Cross multiply
    180,402.01x = 270,909.20 × 156,738.67
  4. Step 4: Simplify right side
    180,402.01x = 42,461,947,698.76
  5. Step 5: Solve for x
    x = 42,461,947,698.76/180,402.01
  6. Step 6: Final answer
    x = 235,374.03

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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.