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Finding the Fourth Proportional to 202,152.40, 302,969.40 and 96,744.40

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Solution

The fourth proportional to 202,152.40, 302,969.40 and 96,744.40 is: 144,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152.40 : 302,969.40 = 96,744.40 : x
  2. Step 2: Convert to fraction form
    202,152.40/302,969.40 = 96,744.40/x
  3. Step 3: Cross multiply
    202,152.40x = 302,969.40 × 96,744.40
  4. Step 4: Simplify right side
    202,152.40x = 29,310,592,821.36
  5. Step 5: Solve for x
    x = 29,310,592,821.36/202,152.40
  6. Step 6: Final answer
    x = 144,992.55

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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.