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Finding the Fourth Proportional to 264,184.65, 364,574.52 and 143,325.90

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Solution

The fourth proportional to 264,184.65, 364,574.52 and 143,325.90 is: 197,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,184.65 : 364,574.52 = 143,325.90 : x
  2. Step 2: Convert to fraction form
    264,184.65/364,574.52 = 143,325.90/x
  3. Step 3: Cross multiply
    264,184.65x = 364,574.52 × 143,325.90
  4. Step 4: Simplify right side
    264,184.65x = 52,252,971,196.07
  5. Step 5: Solve for x
    x = 52,252,971,196.07/264,184.65
  6. Step 6: Final answer
    x = 197,789.58

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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.