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Finding the Fourth Proportional to 140,527.37, 210,793.80 and 51,735.17

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Solution

The fourth proportional to 140,527.37, 210,793.80 and 51,735.17 is: 77,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,527.37 : 210,793.80 = 51,735.17 : x
  2. Step 2: Convert to fraction form
    140,527.37/210,793.80 = 51,735.17/x
  3. Step 3: Cross multiply
    140,527.37x = 210,793.80 × 51,735.17
  4. Step 4: Simplify right side
    140,527.37x = 10,905,453,077.95
  5. Step 5: Solve for x
    x = 10,905,453,077.95/140,527.37
  6. Step 6: Final answer
    x = 77,603.77

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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.