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Finding the Fourth Proportional to 241,402.32, 361,981.98 and 83,588.40

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Solution

The fourth proportional to 241,402.32, 361,981.98 and 83,588.40 is: 125,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,402.32 : 361,981.98 = 83,588.40 : x
  2. Step 2: Convert to fraction form
    241,402.32/361,981.98 = 83,588.40/x
  3. Step 3: Cross multiply
    241,402.32x = 361,981.98 × 83,588.40
  4. Step 4: Simplify right side
    241,402.32x = 30,257,494,537.03
  5. Step 5: Solve for x
    x = 30,257,494,537.03/241,402.32
  6. Step 6: Final answer
    x = 125,340.53

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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.