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Finding the Fourth Proportional to 108,539.20, 162,463.20 and 77,435.20

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Solution

The fourth proportional to 108,539.20, 162,463.20 and 77,435.20 is: 115,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,539.20 : 162,463.20 = 77,435.20 : x
  2. Step 2: Convert to fraction form
    108,539.20/162,463.20 = 77,435.20/x
  3. Step 3: Cross multiply
    108,539.20x = 162,463.20 × 77,435.20
  4. Step 4: Simplify right side
    108,539.20x = 12,580,370,384.64
  5. Step 5: Solve for x
    x = 12,580,370,384.64/108,539.20
  6. Step 6: Final answer
    x = 115,906.24

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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.