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Finding the Fourth Proportional to 264,307.38, 364,746.81 and 143,449.74

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Solution

The fourth proportional to 264,307.38, 364,746.81 and 143,449.74 is: 197,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,307.38 : 364,746.81 = 143,449.74 : x
  2. Step 2: Convert to fraction form
    264,307.38/364,746.81 = 143,449.74/x
  3. Step 3: Cross multiply
    264,307.38x = 364,746.81 × 143,449.74
  4. Step 4: Simplify right side
    264,307.38x = 52,322,835,060.33
  5. Step 5: Solve for x
    x = 52,322,835,060.33/264,307.38
  6. Step 6: Final answer
    x = 197,962.07

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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.