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Finding the Fourth Proportional to 161,542.80, 242,362.80 and 86,698.80

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Solution

The fourth proportional to 161,542.80, 242,362.80 and 86,698.80 is: 130,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,542.80 : 242,362.80 = 86,698.80 : x
  2. Step 2: Convert to fraction form
    161,542.80/242,362.80 = 86,698.80/x
  3. Step 3: Cross multiply
    161,542.80x = 242,362.80 × 86,698.80
  4. Step 4: Simplify right side
    161,542.80x = 21,012,563,924.64
  5. Step 5: Solve for x
    x = 21,012,563,924.64/161,542.80
  6. Step 6: Final answer
    x = 130,074.28

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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.