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Finding the Fourth Proportional to 241,574, 362,425.26 and 83,802.20

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Solution

The fourth proportional to 241,574, 362,425.26 and 83,802.20 is: 125,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,574 : 362,425.26 = 83,802.20 : x
  2. Step 2: Convert to fraction form
    241,574/362,425.26 = 83,802.20/x
  3. Step 3: Cross multiply
    241,574x = 362,425.26 × 83,802.20
  4. Step 4: Simplify right side
    241,574x = 30,372,034,123.57
  5. Step 5: Solve for x
    x = 30,372,034,123.57/241,574
  6. Step 6: Final answer
    x = 125,725.59

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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.