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Finding the Fourth Proportional to 202,854.40, 304,216.80 and 84,497.20

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Solution

The fourth proportional to 202,854.40, 304,216.80 and 84,497.20 is: 126,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,854.40 : 304,216.80 = 84,497.20 : x
  2. Step 2: Convert to fraction form
    202,854.40/304,216.80 = 84,497.20/x
  3. Step 3: Cross multiply
    202,854.40x = 304,216.80 × 84,497.20
  4. Step 4: Simplify right side
    202,854.40x = 25,705,467,792.96
  5. Step 5: Solve for x
    x = 25,705,467,792.96/202,854.40
  6. Step 6: Final answer
    x = 126,718.81

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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.