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Finding the Fourth Proportional to 159,714.36, 238,962.42 and 96,301.08

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Solution

The fourth proportional to 159,714.36, 238,962.42 and 96,301.08 is: 144,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,714.36 : 238,962.42 = 96,301.08 : x
  2. Step 2: Convert to fraction form
    159,714.36/238,962.42 = 96,301.08/x
  3. Step 3: Cross multiply
    159,714.36x = 238,962.42 × 96,301.08
  4. Step 4: Simplify right side
    159,714.36x = 23,012,339,125.41
  5. Step 5: Solve for x
    x = 23,012,339,125.41/159,714.36
  6. Step 6: Final answer
    x = 144,084.35

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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.