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Finding the Fourth Proportional to 159,013.96, 238,522.16 and 46,696.12

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Solution

The fourth proportional to 159,013.96, 238,522.16 and 46,696.12 is: 70,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,013.96 : 238,522.16 = 46,696.12 : x
  2. Step 2: Convert to fraction form
    159,013.96/238,522.16 = 46,696.12/x
  3. Step 3: Cross multiply
    159,013.96x = 238,522.16 × 46,696.12
  4. Step 4: Simplify right side
    159,013.96x = 11,138,059,406.02
  5. Step 5: Solve for x
    x = 11,138,059,406.02/159,013.96
  6. Step 6: Final answer
    x = 70,044.54

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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.