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Finding the Fourth Proportional to 202,295.25, 303,457.46 and 77,636.25

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Solution

The fourth proportional to 202,295.25, 303,457.46 and 77,636.25 is: 116,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,295.25 : 303,457.46 = 77,636.25 : x
  2. Step 2: Convert to fraction form
    202,295.25/303,457.46 = 77,636.25/x
  3. Step 3: Cross multiply
    202,295.25x = 303,457.46 × 77,636.25
  4. Step 4: Simplify right side
    202,295.25x = 23,559,298,840.74
  5. Step 5: Solve for x
    x = 23,559,298,840.74/202,295.25
  6. Step 6: Final answer
    x = 116,459.97

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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.