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Finding the Fourth Proportional to 202,146.50, 303,218.54 and 52,386.42

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Solution

The fourth proportional to 202,146.50, 303,218.54 and 52,386.42 is: 78,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,146.50 : 303,218.54 = 52,386.42 : x
  2. Step 2: Convert to fraction form
    202,146.50/303,218.54 = 52,386.42/x
  3. Step 3: Cross multiply
    202,146.50x = 303,218.54 × 52,386.42
  4. Step 4: Simplify right side
    202,146.50x = 15,884,533,788.23
  5. Step 5: Solve for x
    x = 15,884,533,788.23/202,146.50
  6. Step 6: Final answer
    x = 78,579.32

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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.