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Finding the Fourth Proportional to 159,215.54, 238,862.19 and 65,748.02

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Solution

The fourth proportional to 159,215.54, 238,862.19 and 65,748.02 is: 98,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,215.54 : 238,862.19 = 65,748.02 : x
  2. Step 2: Convert to fraction form
    159,215.54/238,862.19 = 65,748.02/x
  3. Step 3: Cross multiply
    159,215.54x = 238,862.19 × 65,748.02
  4. Step 4: Simplify right side
    159,215.54x = 15,704,716,045.36
  5. Step 5: Solve for x
    x = 15,704,716,045.36/159,215.54
  6. Step 6: Final answer
    x = 98,638.09

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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.