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Finding the Fourth Proportional to 201,928.30, 302,783.10 and 83,465.80

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Solution

The fourth proportional to 201,928.30, 302,783.10 and 83,465.80 is: 125,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,928.30 : 302,783.10 = 83,465.80 : x
  2. Step 2: Convert to fraction form
    201,928.30/302,783.10 = 83,465.80/x
  3. Step 3: Cross multiply
    201,928.30x = 302,783.10 × 83,465.80
  4. Step 4: Simplify right side
    201,928.30x = 25,272,033,667.98
  5. Step 5: Solve for x
    x = 25,272,033,667.98/201,928.30
  6. Step 6: Final answer
    x = 125,153.50

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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.