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Finding the Fourth Proportional to 102,034.20, 153,051.30 and 73,821.90

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Solution

The fourth proportional to 102,034.20, 153,051.30 and 73,821.90 is: 110,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,034.20 : 153,051.30 = 73,821.90 : x
  2. Step 2: Convert to fraction form
    102,034.20/153,051.30 = 73,821.90/x
  3. Step 3: Cross multiply
    102,034.20x = 153,051.30 × 73,821.90
  4. Step 4: Simplify right side
    102,034.20x = 11,298,537,763.47
  5. Step 5: Solve for x
    x = 11,298,537,763.47/102,034.20
  6. Step 6: Final answer
    x = 110,732.85

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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.