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Finding the Fourth Proportional to 264,047.80, 364,386.05 and 143,189.05

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Solution

The fourth proportional to 264,047.80, 364,386.05 and 143,189.05 is: 197,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,047.80 : 364,386.05 = 143,189.05 : x
  2. Step 2: Convert to fraction form
    264,047.80/364,386.05 = 143,189.05/x
  3. Step 3: Cross multiply
    264,047.80x = 364,386.05 × 143,189.05
  4. Step 4: Simplify right side
    264,047.80x = 52,176,093,353.58
  5. Step 5: Solve for x
    x = 52,176,093,353.58/264,047.80
  6. Step 6: Final answer
    x = 197,600.94

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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.