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Finding the Fourth Proportional to 241,769.60, 362,510.40 and 148,342.40

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Solution

The fourth proportional to 241,769.60, 362,510.40 and 148,342.40 is: 222,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,769.60 : 362,510.40 = 148,342.40 : x
  2. Step 2: Convert to fraction form
    241,769.60/362,510.40 = 148,342.40/x
  3. Step 3: Cross multiply
    241,769.60x = 362,510.40 × 148,342.40
  4. Step 4: Simplify right side
    241,769.60x = 53,775,662,760.96
  5. Step 5: Solve for x
    x = 53,775,662,760.96/241,769.60
  6. Step 6: Final answer
    x = 222,425.25

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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.