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Finding the Fourth Proportional to 201,634.70, 302,322.45 and 83,353.10

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Solution

The fourth proportional to 201,634.70, 302,322.45 and 83,353.10 is: 124,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,634.70 : 302,322.45 = 83,353.10 : x
  2. Step 2: Convert to fraction form
    201,634.70/302,322.45 = 83,353.10/x
  3. Step 3: Cross multiply
    201,634.70x = 302,322.45 × 83,353.10
  4. Step 4: Simplify right side
    201,634.70x = 25,199,513,407.10
  5. Step 5: Solve for x
    x = 25,199,513,407.10/201,634.70
  6. Step 6: Final answer
    x = 124,976.08

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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.