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Finding the Fourth Proportional to 97,866.50, 146,856.20 and 52,887.96

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Solution

The fourth proportional to 97,866.50, 146,856.20 and 52,887.96 is: 79,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,866.50 : 146,856.20 = 52,887.96 : x
  2. Step 2: Convert to fraction form
    97,866.50/146,856.20 = 52,887.96/x
  3. Step 3: Cross multiply
    97,866.50x = 146,856.20 × 52,887.96
  4. Step 4: Simplify right side
    97,866.50x = 7,766,924,831.35
  5. Step 5: Solve for x
    x = 7,766,924,831.35/97,866.50
  6. Step 6: Final answer
    x = 79,362.45

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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.