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Finding the Fourth Proportional to 202,459.68, 303,425.28 and 146,488.32

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Solution

The fourth proportional to 202,459.68, 303,425.28 and 146,488.32 is: 219,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,459.68 : 303,425.28 = 146,488.32 : x
  2. Step 2: Convert to fraction form
    202,459.68/303,425.28 = 146,488.32/x
  3. Step 3: Cross multiply
    202,459.68x = 303,425.28 × 146,488.32
  4. Step 4: Simplify right side
    202,459.68x = 44,448,259,512.73
  5. Step 5: Solve for x
    x = 44,448,259,512.73/202,459.68
  6. Step 6: Final answer
    x = 219,541.29

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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.