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Finding the Fourth Proportional to 259,570, 358,206.60 and 140,338

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Solution

The fourth proportional to 259,570, 358,206.60 and 140,338 is: 193,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,570 : 358,206.60 = 140,338 : x
  2. Step 2: Convert to fraction form
    259,570/358,206.60 = 140,338/x
  3. Step 3: Cross multiply
    259,570x = 358,206.60 × 140,338
  4. Step 4: Simplify right side
    259,570x = 50,269,997,830.80
  5. Step 5: Solve for x
    x = 50,269,997,830.80/259,570
  6. Step 6: Final answer
    x = 193,666.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.