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Finding the Fourth Proportional to 97,560.48, 146,269.75 and 65,892.03

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Solution

The fourth proportional to 97,560.48, 146,269.75 and 65,892.03 is: 98,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,560.48 : 146,269.75 = 65,892.03 : x
  2. Step 2: Convert to fraction form
    97,560.48/146,269.75 = 65,892.03/x
  3. Step 3: Cross multiply
    97,560.48x = 146,269.75 × 65,892.03
  4. Step 4: Simplify right side
    97,560.48x = 9,638,010,988.17
  5. Step 5: Solve for x
    x = 9,638,010,988.17/97,560.48
  6. Step 6: Final answer
    x = 98,790.12

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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.