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Finding the Fourth Proportional to 159,503.28, 239,291.94 and 54,323.16

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Solution

The fourth proportional to 159,503.28, 239,291.94 and 54,323.16 is: 81,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,503.28 : 239,291.94 = 54,323.16 : x
  2. Step 2: Convert to fraction form
    159,503.28/239,291.94 = 54,323.16/x
  3. Step 3: Cross multiply
    159,503.28x = 239,291.94 × 54,323.16
  4. Step 4: Simplify right side
    159,503.28x = 12,999,094,343.33
  5. Step 5: Solve for x
    x = 12,999,094,343.33/159,503.28
  6. Step 6: Final answer
    x = 81,497.35

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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.