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Finding the Fourth Proportional to 159,376.34, 237,898.42 and 140,459.90

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Solution

The fourth proportional to 159,376.34, 237,898.42 and 140,459.90 is: 209,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,376.34 : 237,898.42 = 140,459.90 : x
  2. Step 2: Convert to fraction form
    159,376.34/237,898.42 = 140,459.90/x
  3. Step 3: Cross multiply
    159,376.34x = 237,898.42 × 140,459.90
  4. Step 4: Simplify right side
    159,376.34x = 33,415,188,283.36
  5. Step 5: Solve for x
    x = 33,415,188,283.36/159,376.34
  6. Step 6: Final answer
    x = 209,662.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.