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Finding the Fourth Proportional to 289,534.80, 434,302.20 and 102,565.20

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Solution

The fourth proportional to 289,534.80, 434,302.20 and 102,565.20 is: 153,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,534.80 : 434,302.20 = 102,565.20 : x
  2. Step 2: Convert to fraction form
    289,534.80/434,302.20 = 102,565.20/x
  3. Step 3: Cross multiply
    289,534.80x = 434,302.20 × 102,565.20
  4. Step 4: Simplify right side
    289,534.80x = 44,544,292,003.44
  5. Step 5: Solve for x
    x = 44,544,292,003.44/289,534.80
  6. Step 6: Final answer
    x = 153,847.80

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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.