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Finding the Fourth Proportional to 135,630, 203,445.04 and 42,135.76

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Solution

The fourth proportional to 135,630, 203,445.04 and 42,135.76 is: 63,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,630 : 203,445.04 = 42,135.76 : x
  2. Step 2: Convert to fraction form
    135,630/203,445.04 = 42,135.76/x
  3. Step 3: Cross multiply
    135,630x = 203,445.04 × 42,135.76
  4. Step 4: Simplify right side
    135,630x = 8,572,311,378.63
  5. Step 5: Solve for x
    x = 8,572,311,378.63/135,630
  6. Step 6: Final answer
    x = 63,203.65

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