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Finding the Fourth Proportional to 102,548.90, 153,564.15 and 81,812.90

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Solution

The fourth proportional to 102,548.90, 153,564.15 and 81,812.90 is: 122,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,548.90 : 153,564.15 = 81,812.90 : x
  2. Step 2: Convert to fraction form
    102,548.90/153,564.15 = 81,812.90/x
  3. Step 3: Cross multiply
    102,548.90x = 153,564.15 × 81,812.90
  4. Step 4: Simplify right side
    102,548.90x = 12,563,528,447.54
  5. Step 5: Solve for x
    x = 12,563,528,447.54/102,548.90
  6. Step 6: Final answer
    x = 122,512.56

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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.