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Finding the Fourth Proportional to 235,173.96, 352,790.10 and 77,457.24

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Solution

The fourth proportional to 235,173.96, 352,790.10 and 77,457.24 is: 116,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,173.96 : 352,790.10 = 77,457.24 : x
  2. Step 2: Convert to fraction form
    235,173.96/352,790.10 = 77,457.24/x
  3. Step 3: Cross multiply
    235,173.96x = 352,790.10 × 77,457.24
  4. Step 4: Simplify right side
    235,173.96x = 27,326,147,445.32
  5. Step 5: Solve for x
    x = 27,326,147,445.32/235,173.96
  6. Step 6: Final answer
    x = 116,195.46

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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.