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Finding the Fourth Proportional to 105,903.62, 146,162.30 and 63,466.10

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Solution

The fourth proportional to 105,903.62, 146,162.30 and 63,466.10 is: 87,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,903.62 : 146,162.30 = 63,466.10 : x
  2. Step 2: Convert to fraction form
    105,903.62/146,162.30 = 63,466.10/x
  3. Step 3: Cross multiply
    105,903.62x = 146,162.30 × 63,466.10
  4. Step 4: Simplify right side
    105,903.62x = 9,276,351,148.03
  5. Step 5: Solve for x
    x = 9,276,351,148.03/105,903.62
  6. Step 6: Final answer
    x = 87,592.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.