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Finding the Fourth Proportional to 201,783.30, 302,565.60 and 83,320.80

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Solution

The fourth proportional to 201,783.30, 302,565.60 and 83,320.80 is: 124,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,783.30 : 302,565.60 = 83,320.80 : x
  2. Step 2: Convert to fraction form
    201,783.30/302,565.60 = 83,320.80/x
  3. Step 3: Cross multiply
    201,783.30x = 302,565.60 × 83,320.80
  4. Step 4: Simplify right side
    201,783.30x = 25,210,007,844.48
  5. Step 5: Solve for x
    x = 25,210,007,844.48/201,783.30
  6. Step 6: Final answer
    x = 124,936.05

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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.