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Finding the Fourth Proportional to 241,225.80, 361,874.34 and 83,411.88

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Solution

The fourth proportional to 241,225.80, 361,874.34 and 83,411.88 is: 125,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,225.80 : 361,874.34 = 83,411.88 : x
  2. Step 2: Convert to fraction form
    241,225.80/361,874.34 = 83,411.88/x
  3. Step 3: Cross multiply
    241,225.80x = 361,874.34 × 83,411.88
  4. Step 4: Simplify right side
    241,225.80x = 30,184,619,023.16
  5. Step 5: Solve for x
    x = 30,184,619,023.16/241,225.80
  6. Step 6: Final answer
    x = 125,130.14

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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.