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Finding the Fourth Proportional to 264,367.97, 364,828.25 and 143,509.35

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Solution

The fourth proportional to 264,367.97, 364,828.25 and 143,509.35 is: 198,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,367.97 : 364,828.25 = 143,509.35 : x
  2. Step 2: Convert to fraction form
    264,367.97/364,828.25 = 143,509.35/x
  3. Step 3: Cross multiply
    264,367.97x = 364,828.25 × 143,509.35
  4. Step 4: Simplify right side
    264,367.97x = 52,356,266,746.02
  5. Step 5: Solve for x
    x = 52,356,266,746.02/264,367.97
  6. Step 6: Final answer
    x = 198,043.16

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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.