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Finding the Fourth Proportional to 135,703.20, 203,554.80 and 102,023.40

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Solution

The fourth proportional to 135,703.20, 203,554.80 and 102,023.40 is: 153,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,703.20 : 203,554.80 = 102,023.40 : x
  2. Step 2: Convert to fraction form
    135,703.20/203,554.80 = 102,023.40/x
  3. Step 3: Cross multiply
    135,703.20x = 203,554.80 × 102,023.40
  4. Step 4: Simplify right side
    135,703.20x = 20,767,352,782.32
  5. Step 5: Solve for x
    x = 20,767,352,782.32/135,703.20
  6. Step 6: Final answer
    x = 153,035.10

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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.