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Finding the Fourth Proportional to 207,277.70, 310,916.56 and 182,783.30

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Solution

The fourth proportional to 207,277.70, 310,916.56 and 182,783.30 is: 274,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,277.70 : 310,916.56 = 182,783.30 : x
  2. Step 2: Convert to fraction form
    207,277.70/310,916.56 = 182,783.30/x
  3. Step 3: Cross multiply
    207,277.70x = 310,916.56 × 182,783.30
  4. Step 4: Simplify right side
    207,277.70x = 56,830,354,861.45
  5. Step 5: Solve for x
    x = 56,830,354,861.45/207,277.70
  6. Step 6: Final answer
    x = 274,174.96

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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.