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Finding the Fourth Proportional to 102,564.90, 153,847.35 and 81,828.90

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Solution

The fourth proportional to 102,564.90, 153,847.35 and 81,828.90 is: 122,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.90 : 153,847.35 = 81,828.90 : x
  2. Step 2: Convert to fraction form
    102,564.90/153,847.35 = 81,828.90/x
  3. Step 3: Cross multiply
    102,564.90x = 153,847.35 × 81,828.90
  4. Step 4: Simplify right side
    102,564.90x = 12,589,159,418.42
  5. Step 5: Solve for x
    x = 12,589,159,418.42/102,564.90
  6. Step 6: Final answer
    x = 122,743.35

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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.