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Finding the Fourth Proportional to 135,295.50, 202,941.12 and 46,549.77

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Solution

The fourth proportional to 135,295.50, 202,941.12 and 46,549.77 is: 69,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,295.50 : 202,941.12 = 46,549.77 : x
  2. Step 2: Convert to fraction form
    135,295.50/202,941.12 = 46,549.77/x
  3. Step 3: Cross multiply
    135,295.50x = 202,941.12 × 46,549.77
  4. Step 4: Simplify right side
    135,295.50x = 9,446,862,459.54
  5. Step 5: Solve for x
    x = 9,446,862,459.54/135,295.50
  6. Step 6: Final answer
    x = 69,823.92

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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.