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Finding the Fourth Proportional to 264,840.50, 365,510.34 and 157,409.48

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Solution

The fourth proportional to 264,840.50, 365,510.34 and 157,409.48 is: 217,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,840.50 : 365,510.34 = 157,409.48 : x
  2. Step 2: Convert to fraction form
    264,840.50/365,510.34 = 157,409.48/x
  3. Step 3: Cross multiply
    264,840.50x = 365,510.34 × 157,409.48
  4. Step 4: Simplify right side
    264,840.50x = 57,534,792,554.02
  5. Step 5: Solve for x
    x = 57,534,792,554.02/264,840.50
  6. Step 6: Final answer
    x = 217,243.18

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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.