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Finding the Fourth Proportional to 235,763.80, 353,645.70 and 161,114.20

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Solution

The fourth proportional to 235,763.80, 353,645.70 and 161,114.20 is: 241,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,763.80 : 353,645.70 = 161,114.20 : x
  2. Step 2: Convert to fraction form
    235,763.80/353,645.70 = 161,114.20/x
  3. Step 3: Cross multiply
    235,763.80x = 353,645.70 × 161,114.20
  4. Step 4: Simplify right side
    235,763.80x = 56,977,344,038.94
  5. Step 5: Solve for x
    x = 56,977,344,038.94/235,763.80
  6. Step 6: Final answer
    x = 241,671.30

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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.