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Finding the Fourth Proportional to 265,530.96, 366,428.12 and 144,673.14

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Solution

The fourth proportional to 265,530.96, 366,428.12 and 144,673.14 is: 199,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,530.96 : 366,428.12 = 144,673.14 : x
  2. Step 2: Convert to fraction form
    265,530.96/366,428.12 = 144,673.14/x
  3. Step 3: Cross multiply
    265,530.96x = 366,428.12 × 144,673.14
  4. Step 4: Simplify right side
    265,530.96x = 53,012,306,704.70
  5. Step 5: Solve for x
    x = 53,012,306,704.70/265,530.96
  6. Step 6: Final answer
    x = 199,646.42

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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.