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Finding the Fourth Proportional to 97,902.40, 146,751.20 and 53,460.80

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Solution

The fourth proportional to 97,902.40, 146,751.20 and 53,460.80 is: 80,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,902.40 : 146,751.20 = 53,460.80 : x
  2. Step 2: Convert to fraction form
    97,902.40/146,751.20 = 53,460.80/x
  3. Step 3: Cross multiply
    97,902.40x = 146,751.20 × 53,460.80
  4. Step 4: Simplify right side
    97,902.40x = 7,845,436,552.96
  5. Step 5: Solve for x
    x = 7,845,436,552.96/97,902.40
  6. Step 6: Final answer
    x = 80,135.28

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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.