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Finding the Fourth Proportional to 102,450.47, 153,638.76 and 43,290.73

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Solution

The fourth proportional to 102,450.47, 153,638.76 and 43,290.73 is: 64,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,450.47 : 153,638.76 = 43,290.73 : x
  2. Step 2: Convert to fraction form
    102,450.47/153,638.76 = 43,290.73/x
  3. Step 3: Cross multiply
    102,450.47x = 153,638.76 × 43,290.73
  4. Step 4: Simplify right side
    102,450.47x = 6,651,133,308.50
  5. Step 5: Solve for x
    x = 6,651,133,308.50/102,450.47
  6. Step 6: Final answer
    x = 64,920.48

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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.