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Finding the Fourth Proportional to 97,232.40, 145,906.20 and 70,870.80

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Solution

The fourth proportional to 97,232.40, 145,906.20 and 70,870.80 is: 106,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,232.40 : 145,906.20 = 70,870.80 : x
  2. Step 2: Convert to fraction form
    97,232.40/145,906.20 = 70,870.80/x
  3. Step 3: Cross multiply
    97,232.40x = 145,906.20 × 70,870.80
  4. Step 4: Simplify right side
    97,232.40x = 10,340,489,118.96
  5. Step 5: Solve for x
    x = 10,340,489,118.96/97,232.40
  6. Step 6: Final answer
    x = 106,348.18

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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.