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Finding the Fourth Proportional to 382,109.81, 573,162.68 and 97,799.81

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Solution

The fourth proportional to 382,109.81, 573,162.68 and 97,799.81 is: 146,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,109.81 : 573,162.68 = 97,799.81 : x
  2. Step 2: Convert to fraction form
    382,109.81/573,162.68 = 97,799.81/x
  3. Step 3: Cross multiply
    382,109.81x = 573,162.68 × 97,799.81
  4. Step 4: Simplify right side
    382,109.81x = 56,055,198,581.78
  5. Step 5: Solve for x
    x = 56,055,198,581.78/382,109.81
  6. Step 6: Final answer
    x = 146,699.19

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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.