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Finding the Fourth Proportional to 161,784.80, 242,638.32 and 82,858.40

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Solution

The fourth proportional to 161,784.80, 242,638.32 and 82,858.40 is: 124,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,784.80 : 242,638.32 = 82,858.40 : x
  2. Step 2: Convert to fraction form
    161,784.80/242,638.32 = 82,858.40/x
  3. Step 3: Cross multiply
    161,784.80x = 242,638.32 × 82,858.40
  4. Step 4: Simplify right side
    161,784.80x = 20,104,622,973.89
  5. Step 5: Solve for x
    x = 20,104,622,973.89/161,784.80
  6. Step 6: Final answer
    x = 124,267.69

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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.