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Finding the Fourth Proportional to 200,205.68, 300,005.78 and 87,823.04

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Solution

The fourth proportional to 200,205.68, 300,005.78 and 87,823.04 is: 131,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,205.68 : 300,005.78 = 87,823.04 : x
  2. Step 2: Convert to fraction form
    200,205.68/300,005.78 = 87,823.04/x
  3. Step 3: Cross multiply
    200,205.68x = 300,005.78 × 87,823.04
  4. Step 4: Simplify right side
    200,205.68x = 26,347,417,678.03
  5. Step 5: Solve for x
    x = 26,347,417,678.03/200,205.68
  6. Step 6: Final answer
    x = 131,601.75

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1.5x scale

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.