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Finding the Fourth Proportional to 243,296.83, 364,955.39 and 83,482.64

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Solution

The fourth proportional to 243,296.83, 364,955.39 and 83,482.64 is: 125,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,296.83 : 364,955.39 = 83,482.64 : x
  2. Step 2: Convert to fraction form
    243,296.83/364,955.39 = 83,482.64/x
  3. Step 3: Cross multiply
    243,296.83x = 364,955.39 × 83,482.64
  4. Step 4: Simplify right side
    243,296.83x = 30,467,439,934.40
  5. Step 5: Solve for x
    x = 30,467,439,934.40/243,296.83
  6. Step 6: Final answer
    x = 125,227.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.