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Finding the Fourth Proportional to 135,497.70, 203,246.55 and 42,012.90

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Solution

The fourth proportional to 135,497.70, 203,246.55 and 42,012.90 is: 63,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,497.70 : 203,246.55 = 42,012.90 : x
  2. Step 2: Convert to fraction form
    135,497.70/203,246.55 = 42,012.90/x
  3. Step 3: Cross multiply
    135,497.70x = 203,246.55 × 42,012.90
  4. Step 4: Simplify right side
    135,497.70x = 8,538,976,980.50
  5. Step 5: Solve for x
    x = 8,538,976,980.50/135,497.70
  6. Step 6: Final answer
    x = 63,019.35

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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.