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Finding the Fourth Proportional to 201,887.40, 302,758.20 and 102,014.40

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Solution

The fourth proportional to 201,887.40, 302,758.20 and 102,014.40 is: 152,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,887.40 : 302,758.20 = 102,014.40 : x
  2. Step 2: Convert to fraction form
    201,887.40/302,758.20 = 102,014.40/x
  3. Step 3: Cross multiply
    201,887.40x = 302,758.20 × 102,014.40
  4. Step 4: Simplify right side
    201,887.40x = 30,885,696,118.08
  5. Step 5: Solve for x
    x = 30,885,696,118.08/201,887.40
  6. Step 6: Final answer
    x = 152,984.76

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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.