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Finding the Fourth Proportional to 264,499.47, 365,008.14 and 143,639.91

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Solution

The fourth proportional to 264,499.47, 365,008.14 and 143,639.91 is: 198,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,499.47 : 365,008.14 = 143,639.91 : x
  2. Step 2: Convert to fraction form
    264,499.47/365,008.14 = 143,639.91/x
  3. Step 3: Cross multiply
    264,499.47x = 365,008.14 × 143,639.91
  4. Step 4: Simplify right side
    264,499.47x = 52,429,736,378.87
  5. Step 5: Solve for x
    x = 52,429,736,378.87/264,499.47
  6. Step 6: Final answer
    x = 198,222.46

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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.