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Finding the Fourth Proportional to 97,970.72, 146,997.68 and 53,545.56

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Solution

The fourth proportional to 97,970.72, 146,997.68 and 53,545.56 is: 80,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,970.72 : 146,997.68 = 53,545.56 : x
  2. Step 2: Convert to fraction form
    97,970.72/146,997.68 = 53,545.56/x
  3. Step 3: Cross multiply
    97,970.72x = 146,997.68 × 53,545.56
  4. Step 4: Simplify right side
    97,970.72x = 7,871,073,094.30
  5. Step 5: Solve for x
    x = 7,871,073,094.30/97,970.72
  6. Step 6: Final answer
    x = 80,341.08

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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.