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Finding the Fourth Proportional to 177,123.72, 265,743.04 and 106,035.30

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Solution

The fourth proportional to 177,123.72, 265,743.04 and 106,035.30 is: 159,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,123.72 : 265,743.04 = 106,035.30 : x
  2. Step 2: Convert to fraction form
    177,123.72/265,743.04 = 106,035.30/x
  3. Step 3: Cross multiply
    177,123.72x = 265,743.04 × 106,035.30
  4. Step 4: Simplify right side
    177,123.72x = 28,178,142,969.31
  5. Step 5: Solve for x
    x = 28,178,142,969.31/177,123.72
  6. Step 6: Final answer
    x = 159,087.35

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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.