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Finding the Fourth Proportional to 102,633.40, 153,971.70 and 43,438.60

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Solution

The fourth proportional to 102,633.40, 153,971.70 and 43,438.60 is: 65,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,633.40 : 153,971.70 = 43,438.60 : x
  2. Step 2: Convert to fraction form
    102,633.40/153,971.70 = 43,438.60/x
  3. Step 3: Cross multiply
    102,633.40x = 153,971.70 × 43,438.60
  4. Step 4: Simplify right side
    102,633.40x = 6,688,315,087.62
  5. Step 5: Solve for x
    x = 6,688,315,087.62/102,633.40
  6. Step 6: Final answer
    x = 65,167.04

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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.