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Finding the Fourth Proportional to 201,877.60, 302,816.40 and 200,495.20

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Solution

The fourth proportional to 201,877.60, 302,816.40 and 200,495.20 is: 300,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,877.60 : 302,816.40 = 200,495.20 : x
  2. Step 2: Convert to fraction form
    201,877.60/302,816.40 = 200,495.20/x
  3. Step 3: Cross multiply
    201,877.60x = 302,816.40 × 200,495.20
  4. Step 4: Simplify right side
    201,877.60x = 60,713,234,681.28
  5. Step 5: Solve for x
    x = 60,713,234,681.28/201,877.60
  6. Step 6: Final answer
    x = 300,742.80

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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.