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Finding the Fourth Proportional to 242,355.96, 363,536.58 and 84,585

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Solution

The fourth proportional to 242,355.96, 363,536.58 and 84,585 is: 126,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,355.96 : 363,536.58 = 84,585 : x
  2. Step 2: Convert to fraction form
    242,355.96/363,536.58 = 84,585/x
  3. Step 3: Cross multiply
    242,355.96x = 363,536.58 × 84,585
  4. Step 4: Simplify right side
    242,355.96x = 30,749,741,619.30
  5. Step 5: Solve for x
    x = 30,749,741,619.30/242,355.96
  6. Step 6: Final answer
    x = 126,878.42

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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.