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Finding the Fourth Proportional to 234,504.64, 351,683.11 and 76,696.26

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Solution

The fourth proportional to 234,504.64, 351,683.11 and 76,696.26 is: 115,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,504.64 : 351,683.11 = 76,696.26 : x
  2. Step 2: Convert to fraction form
    234,504.64/351,683.11 = 76,696.26/x
  3. Step 3: Cross multiply
    234,504.64x = 351,683.11 × 76,696.26
  4. Step 4: Simplify right side
    234,504.64x = 26,972,779,242.17
  5. Step 5: Solve for x
    x = 26,972,779,242.17/234,504.64
  6. Step 6: Final answer
    x = 115,020.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.