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Finding the Fourth Proportional to 264,337.17, 364,785.65 and 143,478.48

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Solution

The fourth proportional to 264,337.17, 364,785.65 and 143,478.48 is: 198,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,337.17 : 364,785.65 = 143,478.48 : x
  2. Step 2: Convert to fraction form
    264,337.17/364,785.65 = 143,478.48/x
  3. Step 3: Cross multiply
    264,337.17x = 364,785.65 × 143,478.48
  4. Step 4: Simplify right side
    264,337.17x = 52,338,889,870.42
  5. Step 5: Solve for x
    x = 52,338,889,870.42/264,337.17
  6. Step 6: Final answer
    x = 198,000.49

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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.