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Finding the Fourth Proportional to 241,398.54, 362,097.81 and 75,199.50

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Solution

The fourth proportional to 241,398.54, 362,097.81 and 75,199.50 is: 112,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,398.54 : 362,097.81 = 75,199.50 : x
  2. Step 2: Convert to fraction form
    241,398.54/362,097.81 = 75,199.50/x
  3. Step 3: Cross multiply
    241,398.54x = 362,097.81 × 75,199.50
  4. Step 4: Simplify right side
    241,398.54x = 27,229,574,263.10
  5. Step 5: Solve for x
    x = 27,229,574,263.10/241,398.54
  6. Step 6: Final answer
    x = 112,799.25

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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.