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Finding the Fourth Proportional to 101,146.54, 151,708.02 and 63,595.78

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Solution

The fourth proportional to 101,146.54, 151,708.02 and 63,595.78 is: 95,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,146.54 : 151,708.02 = 63,595.78 : x
  2. Step 2: Convert to fraction form
    101,146.54/151,708.02 = 63,595.78/x
  3. Step 3: Cross multiply
    101,146.54x = 151,708.02 × 63,595.78
  4. Step 4: Simplify right side
    101,146.54x = 9,647,989,864.16
  5. Step 5: Solve for x
    x = 9,647,989,864.16/101,146.54
  6. Step 6: Final answer
    x = 95,386.26

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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.