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Finding the Fourth Proportional to 159,242.94, 238,901.32 and 54,061.90

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Solution

The fourth proportional to 159,242.94, 238,901.32 and 54,061.90 is: 81,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,242.94 : 238,901.32 = 54,061.90 : x
  2. Step 2: Convert to fraction form
    159,242.94/238,901.32 = 54,061.90/x
  3. Step 3: Cross multiply
    159,242.94x = 238,901.32 × 54,061.90
  4. Step 4: Simplify right side
    159,242.94x = 12,915,459,271.71
  5. Step 5: Solve for x
    x = 12,915,459,271.71/159,242.94
  6. Step 6: Final answer
    x = 81,105.38

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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.