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Finding the Fourth Proportional to 201,703.36, 302,147.34 and 101,724.52

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Solution

The fourth proportional to 201,703.36, 302,147.34 and 101,724.52 is: 152,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,703.36 : 302,147.34 = 101,724.52 : x
  2. Step 2: Convert to fraction form
    201,703.36/302,147.34 = 101,724.52/x
  3. Step 3: Cross multiply
    201,703.36x = 302,147.34 × 101,724.52
  4. Step 4: Simplify right side
    201,703.36x = 30,735,793,130.78
  5. Step 5: Solve for x
    x = 30,735,793,130.78/201,703.36
  6. Step 6: Final answer
    x = 152,381.17

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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.