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Finding the Fourth Proportional to 202,546.40, 303,819.60 and 155,307.20

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Solution

The fourth proportional to 202,546.40, 303,819.60 and 155,307.20 is: 232,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,546.40 : 303,819.60 = 155,307.20 : x
  2. Step 2: Convert to fraction form
    202,546.40/303,819.60 = 155,307.20/x
  3. Step 3: Cross multiply
    202,546.40x = 303,819.60 × 155,307.20
  4. Step 4: Simplify right side
    202,546.40x = 47,185,371,381.12
  5. Step 5: Solve for x
    x = 47,185,371,381.12/202,546.40
  6. Step 6: Final answer
    x = 232,960.80

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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.