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Finding the Fourth Proportional to 159,132.40, 238,805.94 and 65,636.08

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Solution

The fourth proportional to 159,132.40, 238,805.94 and 65,636.08 is: 98,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,132.40 : 238,805.94 = 65,636.08 : x
  2. Step 2: Convert to fraction form
    159,132.40/238,805.94 = 65,636.08/x
  3. Step 3: Cross multiply
    159,132.40x = 238,805.94 × 65,636.08
  4. Step 4: Simplify right side
    159,132.40x = 15,674,285,782.32
  5. Step 5: Solve for x
    x = 15,674,285,782.32/159,132.40
  6. Step 6: Final answer
    x = 98,498.39

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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.