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Finding the Fourth Proportional to 102,615.10, 153,922.65 and 88,791.10

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Solution

The fourth proportional to 102,615.10, 153,922.65 and 88,791.10 is: 133,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,615.10 : 153,922.65 = 88,791.10 : x
  2. Step 2: Convert to fraction form
    102,615.10/153,922.65 = 88,791.10/x
  3. Step 3: Cross multiply
    102,615.10x = 153,922.65 × 88,791.10
  4. Step 4: Simplify right side
    102,615.10x = 13,666,961,408.42
  5. Step 5: Solve for x
    x = 13,666,961,408.42/102,615.10
  6. Step 6: Final answer
    x = 133,186.65

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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.