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Finding the Fourth Proportional to 201,837.18, 302,896.53 and 83,509.50

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Solution

The fourth proportional to 201,837.18, 302,896.53 and 83,509.50 is: 125,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837.18 : 302,896.53 = 83,509.50 : x
  2. Step 2: Convert to fraction form
    201,837.18/302,896.53 = 83,509.50/x
  3. Step 3: Cross multiply
    201,837.18x = 302,896.53 × 83,509.50
  4. Step 4: Simplify right side
    201,837.18x = 25,294,737,772.04
  5. Step 5: Solve for x
    x = 25,294,737,772.04/201,837.18
  6. Step 6: Final answer
    x = 125,322.49

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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.