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Finding the Fourth Proportional to 208,233.30, 287,361.60 and 112,740

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Solution

The fourth proportional to 208,233.30, 287,361.60 and 112,740 is: 155,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,233.30 : 287,361.60 = 112,740 : x
  2. Step 2: Convert to fraction form
    208,233.30/287,361.60 = 112,740/x
  3. Step 3: Cross multiply
    208,233.30x = 287,361.60 × 112,740
  4. Step 4: Simplify right side
    208,233.30x = 32,397,146,784.00
  5. Step 5: Solve for x
    x = 32,397,146,784.00/208,233.30
  6. Step 6: Final answer
    x = 155,581.01

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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.