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Finding the Fourth Proportional to 102,519.80, 153,779.70 and 92,022.20

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Solution

The fourth proportional to 102,519.80, 153,779.70 and 92,022.20 is: 138,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,519.80 : 153,779.70 = 92,022.20 : x
  2. Step 2: Convert to fraction form
    102,519.80/153,779.70 = 92,022.20/x
  3. Step 3: Cross multiply
    102,519.80x = 153,779.70 × 92,022.20
  4. Step 4: Simplify right side
    102,519.80x = 14,151,146,309.34
  5. Step 5: Solve for x
    x = 14,151,146,309.34/102,519.80
  6. Step 6: Final answer
    x = 138,033.30

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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.