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Finding the Fourth Proportional to 216,063.40, 324,095.10 and 97,738.60

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Solution

The fourth proportional to 216,063.40, 324,095.10 and 97,738.60 is: 146,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,063.40 : 324,095.10 = 97,738.60 : x
  2. Step 2: Convert to fraction form
    216,063.40/324,095.10 = 97,738.60/x
  3. Step 3: Cross multiply
    216,063.40x = 324,095.10 × 97,738.60
  4. Step 4: Simplify right side
    216,063.40x = 31,676,601,340.86
  5. Step 5: Solve for x
    x = 31,676,601,340.86/216,063.40
  6. Step 6: Final answer
    x = 146,607.90

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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.