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Finding the Fourth Proportional to 264,816.34, 365,448.93 and 143,957.86

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Solution

The fourth proportional to 264,816.34, 365,448.93 and 143,957.86 is: 198,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,816.34 : 365,448.93 = 143,957.86 : x
  2. Step 2: Convert to fraction form
    264,816.34/365,448.93 = 143,957.86/x
  3. Step 3: Cross multiply
    264,816.34x = 365,448.93 × 143,957.86
  4. Step 4: Simplify right side
    264,816.34x = 52,609,247,314.04
  5. Step 5: Solve for x
    x = 52,609,247,314.04/264,816.34
  6. Step 6: Final answer
    x = 198,663.14

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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.