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Finding the Fourth Proportional to 264,742.62, 365,344.71 and 145,510.62

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Solution

The fourth proportional to 264,742.62, 365,344.71 and 145,510.62 is: 200,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,742.62 : 365,344.71 = 145,510.62 : x
  2. Step 2: Convert to fraction form
    264,742.62/365,344.71 = 145,510.62/x
  3. Step 3: Cross multiply
    264,742.62x = 365,344.71 × 145,510.62
  4. Step 4: Simplify right side
    264,742.62x = 53,161,535,265.82
  5. Step 5: Solve for x
    x = 53,161,535,265.82/264,742.62
  6. Step 6: Final answer
    x = 200,804.60

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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.