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Finding the Fourth Proportional to 201,674.40, 302,803.20 and 152,102.40

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Solution

The fourth proportional to 201,674.40, 302,803.20 and 152,102.40 is: 228,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,674.40 : 302,803.20 = 152,102.40 : x
  2. Step 2: Convert to fraction form
    201,674.40/302,803.20 = 152,102.40/x
  3. Step 3: Cross multiply
    201,674.40x = 302,803.20 × 152,102.40
  4. Step 4: Simplify right side
    201,674.40x = 46,057,093,447.68
  5. Step 5: Solve for x
    x = 46,057,093,447.68/201,674.40
  6. Step 6: Final answer
    x = 228,373.52

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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.