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Finding the Fourth Proportional to 97,712.40, 146,568.60 and 97,021.20

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Solution

The fourth proportional to 97,712.40, 146,568.60 and 97,021.20 is: 145,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,712.40 : 146,568.60 = 97,021.20 : x
  2. Step 2: Convert to fraction form
    97,712.40/146,568.60 = 97,021.20/x
  3. Step 3: Cross multiply
    97,712.40x = 146,568.60 × 97,021.20
  4. Step 4: Simplify right side
    97,712.40x = 14,220,261,454.32
  5. Step 5: Solve for x
    x = 14,220,261,454.32/97,712.40
  6. Step 6: Final answer
    x = 145,531.80

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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.