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Finding the Fourth Proportional to 234,809.60, 352,214.40 and 77,043.20

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Solution

The fourth proportional to 234,809.60, 352,214.40 and 77,043.20 is: 115,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,809.60 : 352,214.40 = 77,043.20 : x
  2. Step 2: Convert to fraction form
    234,809.60/352,214.40 = 77,043.20/x
  3. Step 3: Cross multiply
    234,809.60x = 352,214.40 × 77,043.20
  4. Step 4: Simplify right side
    234,809.60x = 27,135,724,462.08
  5. Step 5: Solve for x
    x = 27,135,724,462.08/234,809.60
  6. Step 6: Final answer
    x = 115,564.80

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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.