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Finding the Fourth Proportional to 103,177.68, 154,559.16 and 53,826

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Solution

The fourth proportional to 103,177.68, 154,559.16 and 53,826 is: 80,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,177.68 : 154,559.16 = 53,826 : x
  2. Step 2: Convert to fraction form
    103,177.68/154,559.16 = 53,826/x
  3. Step 3: Cross multiply
    103,177.68x = 154,559.16 × 53,826
  4. Step 4: Simplify right side
    103,177.68x = 8,319,301,346.16
  5. Step 5: Solve for x
    x = 8,319,301,346.16/103,177.68
  6. Step 6: Final answer
    x = 80,630.82

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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.