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Finding the Fourth Proportional to 160,194.29, 240,102.80 and 65,365.29

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Solution

The fourth proportional to 160,194.29, 240,102.80 and 65,365.29 is: 97,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,194.29 : 240,102.80 = 65,365.29 : x
  2. Step 2: Convert to fraction form
    160,194.29/240,102.80 = 65,365.29/x
  3. Step 3: Cross multiply
    160,194.29x = 240,102.80 × 65,365.29
  4. Step 4: Simplify right side
    160,194.29x = 15,694,389,070.11
  5. Step 5: Solve for x
    x = 15,694,389,070.11/160,194.29
  6. Step 6: Final answer
    x = 97,970.97

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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.