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Finding the Fourth Proportional to 200,319.40, 300,041.70 and 121,295.80

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Solution

The fourth proportional to 200,319.40, 300,041.70 and 121,295.80 is: 181,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,319.40 : 300,041.70 = 121,295.80 : x
  2. Step 2: Convert to fraction form
    200,319.40/300,041.70 = 121,295.80/x
  3. Step 3: Cross multiply
    200,319.40x = 300,041.70 × 121,295.80
  4. Step 4: Simplify right side
    200,319.40x = 36,393,798,034.86
  5. Step 5: Solve for x
    x = 36,393,798,034.86/200,319.40
  6. Step 6: Final answer
    x = 181,678.85

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