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Finding the Fourth Proportional to 160,014.62, 240,021.05 and 65,244.43

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Solution

The fourth proportional to 160,014.62, 240,021.05 and 65,244.43 is: 97,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,014.62 : 240,021.05 = 65,244.43 : x
  2. Step 2: Convert to fraction form
    160,014.62/240,021.05 = 65,244.43/x
  3. Step 3: Cross multiply
    160,014.62x = 240,021.05 × 65,244.43
  4. Step 4: Simplify right side
    160,014.62x = 15,660,036,595.25
  5. Step 5: Solve for x
    x = 15,660,036,595.25/160,014.62
  6. Step 6: Final answer
    x = 97,866.29

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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.