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Finding the Fourth Proportional to 312,101.34, 430,668.63 and 176,123.10

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Solution

The fourth proportional to 312,101.34, 430,668.63 and 176,123.10 is: 243,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,101.34 : 430,668.63 = 176,123.10 : x
  2. Step 2: Convert to fraction form
    312,101.34/430,668.63 = 176,123.10/x
  3. Step 3: Cross multiply
    312,101.34x = 430,668.63 × 176,123.10
  4. Step 4: Simplify right side
    312,101.34x = 75,850,694,188.35
  5. Step 5: Solve for x
    x = 75,850,694,188.35/312,101.34
  6. Step 6: Final answer
    x = 243,032.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.