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Finding the Fourth Proportional to 201,253.80, 301,963.86 and 101,360.28

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Solution

The fourth proportional to 201,253.80, 301,963.86 and 101,360.28 is: 152,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,253.80 : 301,963.86 = 101,360.28 : x
  2. Step 2: Convert to fraction form
    201,253.80/301,963.86 = 101,360.28/x
  3. Step 3: Cross multiply
    201,253.80x = 301,963.86 × 101,360.28
  4. Step 4: Simplify right side
    201,253.80x = 30,607,141,399.48
  5. Step 5: Solve for x
    x = 30,607,141,399.48/201,253.80
  6. Step 6: Final answer
    x = 152,082.30

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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.