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Finding the Fourth Proportional to 265,036, 365,749.68 and 145,804

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Solution

The fourth proportional to 265,036, 365,749.68 and 145,804 is: 201,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,036 : 365,749.68 = 145,804 : x
  2. Step 2: Convert to fraction form
    265,036/365,749.68 = 145,804/x
  3. Step 3: Cross multiply
    265,036x = 365,749.68 × 145,804
  4. Step 4: Simplify right side
    265,036x = 53,327,766,342.72
  5. Step 5: Solve for x
    x = 53,327,766,342.72/265,036
  6. Step 6: Final answer
    x = 201,209.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.