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Finding the Fourth Proportional to 102,703.20, 144,199.20 and 102,703.20

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Solution

The fourth proportional to 102,703.20, 144,199.20 and 102,703.20 is: 144,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,703.20 : 144,199.20 = 102,703.20 : x
  2. Step 2: Convert to fraction form
    102,703.20/144,199.20 = 102,703.20/x
  3. Step 3: Cross multiply
    102,703.20x = 144,199.20 × 102,703.20
  4. Step 4: Simplify right side
    102,703.20x = 14,809,719,277.44
  5. Step 5: Solve for x
    x = 14,809,719,277.44/102,703.20
  6. Step 6: Final answer
    x = 144,199.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.