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Finding the Fourth Proportional to 155,022.40, 231,950.40 and 102,534.40

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Solution

The fourth proportional to 155,022.40, 231,950.40 and 102,534.40 is: 153,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,022.40 : 231,950.40 = 102,534.40 : x
  2. Step 2: Convert to fraction form
    155,022.40/231,950.40 = 102,534.40/x
  3. Step 3: Cross multiply
    155,022.40x = 231,950.40 × 102,534.40
  4. Step 4: Simplify right side
    155,022.40x = 23,782,895,093.76
  5. Step 5: Solve for x
    x = 23,782,895,093.76/155,022.40
  6. Step 6: Final answer
    x = 153,415.86

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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.