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Finding the Fourth Proportional to 97,146.54, 145,661.46 and 65,887.02

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Solution

The fourth proportional to 97,146.54, 145,661.46 and 65,887.02 is: 98,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146.54 : 145,661.46 = 65,887.02 : x
  2. Step 2: Convert to fraction form
    97,146.54/145,661.46 = 65,887.02/x
  3. Step 3: Cross multiply
    97,146.54x = 145,661.46 × 65,887.02
  4. Step 4: Simplify right side
    97,146.54x = 9,597,199,528.25
  5. Step 5: Solve for x
    x = 9,597,199,528.25/97,146.54
  6. Step 6: Final answer
    x = 98,790.96

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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.