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Finding the Fourth Proportional to 164,938.60, 247,926.30 and 161,828.20

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Solution

The fourth proportional to 164,938.60, 247,926.30 and 161,828.20 is: 243,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,938.60 : 247,926.30 = 161,828.20 : x
  2. Step 2: Convert to fraction form
    164,938.60/247,926.30 = 161,828.20/x
  3. Step 3: Cross multiply
    164,938.60x = 247,926.30 × 161,828.20
  4. Step 4: Simplify right side
    164,938.60x = 40,121,466,861.66
  5. Step 5: Solve for x
    x = 40,121,466,861.66/164,938.60
  6. Step 6: Final answer
    x = 243,250.92

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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.