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Finding the Fourth Proportional to 211,747.50, 317,621.25 and 64,003.50

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Solution

The fourth proportional to 211,747.50, 317,621.25 and 64,003.50 is: 96,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,747.50 : 317,621.25 = 64,003.50 : x
  2. Step 2: Convert to fraction form
    211,747.50/317,621.25 = 64,003.50/x
  3. Step 3: Cross multiply
    211,747.50x = 317,621.25 × 64,003.50
  4. Step 4: Simplify right side
    211,747.50x = 20,328,871,674.38
  5. Step 5: Solve for x
    x = 20,328,871,674.38/211,747.50
  6. Step 6: Final answer
    x = 96,005.25

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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.