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Finding the Fourth Proportional to 228,419.67, 342,699.62 and 102,166.14

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Solution

The fourth proportional to 228,419.67, 342,699.62 and 102,166.14 is: 153,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,419.67 : 342,699.62 = 102,166.14 : x
  2. Step 2: Convert to fraction form
    228,419.67/342,699.62 = 102,166.14/x
  3. Step 3: Cross multiply
    228,419.67x = 342,699.62 × 102,166.14
  4. Step 4: Simplify right side
    228,419.67x = 35,012,296,844.04
  5. Step 5: Solve for x
    x = 35,012,296,844.04/228,419.67
  6. Step 6: Final answer
    x = 153,280.57

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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.