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Finding the Fourth Proportional to 152,063.95, 209,749.38 and 97,529.73

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Solution

The fourth proportional to 152,063.95, 209,749.38 and 97,529.73 is: 134,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,063.95 : 209,749.38 = 97,529.73 : x
  2. Step 2: Convert to fraction form
    152,063.95/209,749.38 = 97,529.73/x
  3. Step 3: Cross multiply
    152,063.95x = 209,749.38 × 97,529.73
  4. Step 4: Simplify right side
    152,063.95x = 20,456,800,399.07
  5. Step 5: Solve for x
    x = 20,456,800,399.07/152,063.95
  6. Step 6: Final answer
    x = 134,527.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.