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Finding the Fourth Proportional to 164,861.30, 231,330.70 and 164,861.30

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Solution

The fourth proportional to 164,861.30, 231,330.70 and 164,861.30 is: 231,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,861.30 : 231,330.70 = 164,861.30 : x
  2. Step 2: Convert to fraction form
    164,861.30/231,330.70 = 164,861.30/x
  3. Step 3: Cross multiply
    164,861.30x = 231,330.70 × 164,861.30
  4. Step 4: Simplify right side
    164,861.30x = 38,137,479,931.91
  5. Step 5: Solve for x
    x = 38,137,479,931.91/164,861.30
  6. Step 6: Final answer
    x = 231,330.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.