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Finding the Fourth Proportional to 259,859.10, 389,788.62 and 97,783.62

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Solution

The fourth proportional to 259,859.10, 389,788.62 and 97,783.62 is: 146,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,859.10 : 389,788.62 = 97,783.62 : x
  2. Step 2: Convert to fraction form
    259,859.10/389,788.62 = 97,783.62/x
  3. Step 3: Cross multiply
    259,859.10x = 389,788.62 × 97,783.62
  4. Step 4: Simplify right side
    259,859.10x = 38,114,942,298.40
  5. Step 5: Solve for x
    x = 38,114,942,298.40/259,859.10
  6. Step 6: Final answer
    x = 146,675.42

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1.5x scale

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.