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Finding the Fourth Proportional to 293,894.90, 440,957.55 and 106,925.30

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Solution

The fourth proportional to 293,894.90, 440,957.55 and 106,925.30 is: 160,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,894.90 : 440,957.55 = 106,925.30 : x
  2. Step 2: Convert to fraction form
    293,894.90/440,957.55 = 106,925.30/x
  3. Step 3: Cross multiply
    293,894.90x = 440,957.55 × 106,925.30
  4. Step 4: Simplify right side
    293,894.90x = 47,149,518,321.02
  5. Step 5: Solve for x
    x = 47,149,518,321.02/293,894.90
  6. Step 6: Final answer
    x = 160,429.86

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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.