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Finding the Fourth Proportional to 241,402.10, 362,135.55 and 83,678.90

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Solution

The fourth proportional to 241,402.10, 362,135.55 and 83,678.90 is: 125,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,402.10 : 362,135.55 = 83,678.90 : x
  2. Step 2: Convert to fraction form
    241,402.10/362,135.55 = 83,678.90/x
  3. Step 3: Cross multiply
    241,402.10x = 362,135.55 × 83,678.90
  4. Step 4: Simplify right side
    241,402.10x = 30,303,104,474.90
  5. Step 5: Solve for x
    x = 30,303,104,474.90/241,402.10
  6. Step 6: Final answer
    x = 125,529.58

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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.