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Finding the Fourth Proportional to 201,855.40, 302,523.90 and 154,875.40

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Solution

The fourth proportional to 201,855.40, 302,523.90 and 154,875.40 is: 232,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,855.40 : 302,523.90 = 154,875.40 : x
  2. Step 2: Convert to fraction form
    201,855.40/302,523.90 = 154,875.40/x
  3. Step 3: Cross multiply
    201,855.40x = 302,523.90 × 154,875.40
  4. Step 4: Simplify right side
    201,855.40x = 46,853,510,022.06
  5. Step 5: Solve for x
    x = 46,853,510,022.06/201,855.40
  6. Step 6: Final answer
    x = 232,114.23

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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.