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Finding the Fourth Proportional to 109,898.55, 164,847.83 and 43,304.40

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Solution

The fourth proportional to 109,898.55, 164,847.83 and 43,304.40 is: 64,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.55 : 164,847.83 = 43,304.40 : x
  2. Step 2: Convert to fraction form
    109,898.55/164,847.83 = 43,304.40/x
  3. Step 3: Cross multiply
    109,898.55x = 164,847.83 × 43,304.40
  4. Step 4: Simplify right side
    109,898.55x = 7,138,636,152.93
  5. Step 5: Solve for x
    x = 7,138,636,152.93/109,898.55
  6. Step 6: Final answer
    x = 64,956.60

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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.