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Finding the Fourth Proportional to 148,097.60, 222,664.80 and 144,987.20

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Solution

The fourth proportional to 148,097.60, 222,664.80 and 144,987.20 is: 217,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,097.60 : 222,664.80 = 144,987.20 : x
  2. Step 2: Convert to fraction form
    148,097.60/222,664.80 = 144,987.20/x
  3. Step 3: Cross multiply
    148,097.60x = 222,664.80 × 144,987.20
  4. Step 4: Simplify right side
    148,097.60x = 32,283,545,890.56
  5. Step 5: Solve for x
    x = 32,283,545,890.56/148,097.60
  6. Step 6: Final answer
    x = 217,988.31

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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.