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Finding the Fourth Proportional to 202,709.80, 304,064.70 and 84,341.80

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Solution

The fourth proportional to 202,709.80, 304,064.70 and 84,341.80 is: 126,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,709.80 : 304,064.70 = 84,341.80 : x
  2. Step 2: Convert to fraction form
    202,709.80/304,064.70 = 84,341.80/x
  3. Step 3: Cross multiply
    202,709.80x = 304,064.70 × 84,341.80
  4. Step 4: Simplify right side
    202,709.80x = 25,645,364,114.46
  5. Step 5: Solve for x
    x = 25,645,364,114.46/202,709.80
  6. Step 6: Final answer
    x = 126,512.70

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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.