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Finding the Fourth Proportional to 264,062.61, 364,403.91 and 143,206.56

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Solution

The fourth proportional to 264,062.61, 364,403.91 and 143,206.56 is: 197,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,062.61 : 364,403.91 = 143,206.56 : x
  2. Step 2: Convert to fraction form
    264,062.61/364,403.91 = 143,206.56/x
  3. Step 3: Cross multiply
    264,062.61x = 364,403.91 × 143,206.56
  4. Step 4: Simplify right side
    264,062.61x = 52,185,030,401.65
  5. Step 5: Solve for x
    x = 52,185,030,401.65/264,062.61
  6. Step 6: Final answer
    x = 197,623.70

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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.