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Finding the Fourth Proportional to 203,776.44, 305,624.12 and 102,547.48

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Solution

The fourth proportional to 203,776.44, 305,624.12 and 102,547.48 is: 153,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,776.44 : 305,624.12 = 102,547.48 : x
  2. Step 2: Convert to fraction form
    203,776.44/305,624.12 = 102,547.48/x
  3. Step 3: Cross multiply
    203,776.44x = 305,624.12 × 102,547.48
  4. Step 4: Simplify right side
    203,776.44x = 31,340,983,333.22
  5. Step 5: Solve for x
    x = 31,340,983,333.22/203,776.44
  6. Step 6: Final answer
    x = 153,800.82

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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.