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Finding the Fourth Proportional to 152,765.90, 210,842.28 and 89,103.69

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Solution

The fourth proportional to 152,765.90, 210,842.28 and 89,103.69 is: 122,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,765.90 : 210,842.28 = 89,103.69 : x
  2. Step 2: Convert to fraction form
    152,765.90/210,842.28 = 89,103.69/x
  3. Step 3: Cross multiply
    152,765.90x = 210,842.28 × 89,103.69
  4. Step 4: Simplify right side
    152,765.90x = 18,786,825,156.01
  5. Step 5: Solve for x
    x = 18,786,825,156.01/152,765.90
  6. Step 6: Final answer
    x = 122,977.87

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