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Finding the Fourth Proportional to 97,415.20, 146,122.80 and 64,172.80

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Solution

The fourth proportional to 97,415.20, 146,122.80 and 64,172.80 is: 96,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,415.20 : 146,122.80 = 64,172.80 : x
  2. Step 2: Convert to fraction form
    97,415.20/146,122.80 = 64,172.80/x
  3. Step 3: Cross multiply
    97,415.20x = 146,122.80 × 64,172.80
  4. Step 4: Simplify right side
    97,415.20x = 9,377,109,219.84
  5. Step 5: Solve for x
    x = 9,377,109,219.84/97,415.20
  6. Step 6: Final answer
    x = 96,259.20

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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.