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Finding the Fourth Proportional to 275,123.34, 412,827.15 and 117,309.42

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Solution

The fourth proportional to 275,123.34, 412,827.15 and 117,309.42 is: 176,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,123.34 : 412,827.15 = 117,309.42 : x
  2. Step 2: Convert to fraction form
    275,123.34/412,827.15 = 117,309.42/x
  3. Step 3: Cross multiply
    275,123.34x = 412,827.15 × 117,309.42
  4. Step 4: Simplify right side
    275,123.34x = 48,428,513,526.75
  5. Step 5: Solve for x
    x = 48,428,513,526.75/275,123.34
  6. Step 6: Final answer
    x = 176,024.74

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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.