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Finding the Fourth Proportional to 201,784.80, 302,567.85 and 83,322.30

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Solution

The fourth proportional to 201,784.80, 302,567.85 and 83,322.30 is: 124,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784.80 : 302,567.85 = 83,322.30 : x
  2. Step 2: Convert to fraction form
    201,784.80/302,567.85 = 83,322.30/x
  3. Step 3: Cross multiply
    201,784.80x = 302,567.85 × 83,322.30
  4. Step 4: Simplify right side
    201,784.80x = 25,210,649,168.06
  5. Step 5: Solve for x
    x = 25,210,649,168.06/201,784.80
  6. Step 6: Final answer
    x = 124,938.30

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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.