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Finding the Fourth Proportional to 202,365.16, 303,734.31 and 102,595.30

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Solution

The fourth proportional to 202,365.16, 303,734.31 and 102,595.30 is: 153,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,365.16 : 303,734.31 = 102,595.30 : x
  2. Step 2: Convert to fraction form
    202,365.16/303,734.31 = 102,595.30/x
  3. Step 3: Cross multiply
    202,365.16x = 303,734.31 × 102,595.30
  4. Step 4: Simplify right side
    202,365.16x = 31,161,712,654.74
  5. Step 5: Solve for x
    x = 31,161,712,654.74/202,365.16
  6. Step 6: Final answer
    x = 153,987.54

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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.