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Finding the Fourth Proportional to 265,098, 365,835.24 and 145,866

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Solution

The fourth proportional to 265,098, 365,835.24 and 145,866 is: 201,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,098 : 365,835.24 = 145,866 : x
  2. Step 2: Convert to fraction form
    265,098/365,835.24 = 145,866/x
  3. Step 3: Cross multiply
    265,098x = 365,835.24 × 145,866
  4. Step 4: Simplify right side
    265,098x = 53,362,923,117.84
  5. Step 5: Solve for x
    x = 53,362,923,117.84/265,098
  6. Step 6: Final answer
    x = 201,295.08

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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.