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Finding the Fourth Proportional to 197,216.35, 295,874.27 and 55,061.50

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Solution

The fourth proportional to 197,216.35, 295,874.27 and 55,061.50 is: 82,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,216.35 : 295,874.27 = 55,061.50 : x
  2. Step 2: Convert to fraction form
    197,216.35/295,874.27 = 55,061.50/x
  3. Step 3: Cross multiply
    197,216.35x = 295,874.27 × 55,061.50
  4. Step 4: Simplify right side
    197,216.35x = 16,291,281,117.61
  5. Step 5: Solve for x
    x = 16,291,281,117.61/197,216.35
  6. Step 6: Final answer
    x = 82,606.14

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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.