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Finding the Fourth Proportional to 136,727.40, 205,091.10 and 101,735.40

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Solution

The fourth proportional to 136,727.40, 205,091.10 and 101,735.40 is: 152,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,727.40 : 205,091.10 = 101,735.40 : x
  2. Step 2: Convert to fraction form
    136,727.40/205,091.10 = 101,735.40/x
  3. Step 3: Cross multiply
    136,727.40x = 205,091.10 × 101,735.40
  4. Step 4: Simplify right side
    136,727.40x = 20,865,025,094.94
  5. Step 5: Solve for x
    x = 20,865,025,094.94/136,727.40
  6. Step 6: Final answer
    x = 152,603.10

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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.